66 Publications

Mark all

[66]
2017 | Journal Article | PUB-ID: 2913484
Parabolic Lipschitz truncation and Caloric Approximation
Diening L, Schwarzacher S, Stroffolini B, Verde A (2017)
Calculus of Variations and Partial Differential Equations 56(4): 120.
PUB | DOI | WoS | arXiv
 
[65]
2017 | Journal Article | PUB-ID: 2913485
Trace-free Korn inequalities in Orlicz spaces
Breit D, Cianchi A, Diening L (2017)
SIAM Journal on Mathematical Analysis 49(4): 2496-2526.
PUB | DOI | WoS | arXiv
 
[64]
2017 | Preprint | PUB-ID: 2913416
A Relaxed Kačanov Iteration for the $p$-Poisson Problem
Diening L, Fornasier M, Wank M (2017)
arXiv:1702.03844.
PUB | arXiv
 
[63]
2017 | Journal Article | PUB-ID: 2913486
The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system
Diening L, Feireisl E, Lu Y (2017)
ESAIM. Control, Optimisation and Calculus of Variations 23(3): 851-868.
PUB | DOI | WoS | arXiv
 
[62]
2017 | Journal Article | PUB-ID: 2913487
The $p$-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates
Breit D, Cianchi A, Diening L, Kuusi T, Schwarzacher S (2017)
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 153: 200-212.
PUB | DOI | WoS
 
[61]
2017 | Preprint | PUB-ID: 2913415
Traces of functions of bounded A-variation and variational problems with linear growth
Breit D, Diening L, Gmeineder F (2017)
arXiv:1707.06804.
PUB | arXiv
 
[60]
2016 | Preprint | PUB-ID: 2913439
Regularity for parabolic systems of Uhlenbeck type with Orlicz growth
Diening L, Scharle T, Schwarzacher S (2016)
arXiv:1603.05604.
PUB | arXiv
 
[59]
2016 | Journal Article | PUB-ID: 2913491
Instance optimality of the adaptive maximum strategy
Diening L, Kreuzer C, Stevenson R (2016)
Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics 16(1): 33-68.
PUB | DOI | WoS | arXiv
 
[58]
2016 | Book Chapter | PUB-ID: 2913489
Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows
Abels H, Diening L, Terasawa Y (2016)
In: Recent developments of mathematical fluid mechanics. Amann H, Giga Y, Kozono H, Okamoto H, Yamazaki M (Eds); Advances in Mathematical Fluid Mechanics. Basel: Birkhäuser: 13-23.
PUB
 
[57]
2016 | Journal Article | PUB-ID: 2913492
Besov regularity of solutions to the $p$-Poisson equation
Dahlke S, Diening L, Hartmann C, Scharf B, Weimar M (2016)
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 130: 298-329.
PUB | DOI | WoS | arXiv
 
[56]
2016 | Journal Article | PUB-ID: 2913419
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems
Bulíček M, Diening L, Schwarzacher S (2016)
Analysis & PDE 9(5): 1115-1151.
PUB | DOI | WoS | arXiv
 
[55]
2016 | Journal Article | PUB-ID: 2913490
Convergence analysis for a finite element approximation of a steady model for electrorheological fluids
Berselli LC, Breit D, Diening L (2016)
Numerische Mathematik 132(4): 657-689.
PUB | DOI | WoS | arXiv
 
[54]
2015 | Journal Article | PUB-ID: 2913494
Finite element approximation of the $p(\cdot)$-Laplacian
Breit D, Diening L, Schwarzacher S (2015)
SIAM Journal on Numerical Analysis 53(1): 551-572.
PUB | DOI | WoS | arXiv
 
[53]
2015 | Journal Article | PUB-ID: 2913493
Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids
Berselli LC, Diening L, Růžička M (2015)
IMA Journal of Numerical Analysis 35(2): 680-697.
PUB | DOI | WoS | arXiv
 
[52]
2015 | Preprint | PUB-ID: 2913420
Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system
Breit D, Cianchi A, Diening L, Kuusi T, Schwarzacher S (2015)
arXiv:1510.02612.
PUB | arXiv
 
[51]
2014 | Journal Article | PUB-ID: 2913496
A local discontinuous Galerkin approximation for systems with $p$-structure
Diening L, Kröner D, Růžička M, Toulopoulos I (2014)
IMA Journal of Numerical Analysis 34(4): 1447-1488.
PUB | DOI | WoS
 
[50]
2014 | Journal Article | PUB-ID: 2913497
Global gradient estimates for the $p(\cdot)$-Laplacian
Diening L, Schwarzacher S (2014)
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 106: 70-85.
PUB | DOI | WoS | arXiv
 
[49]
2014 | Journal Article | PUB-ID: 2913498
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows
Abels H, Diening L, Terasawa Y (2014)
Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 15: 149-157.
PUB | DOI | WoS | arXiv
 
[48]
2014 | Journal Article | PUB-ID: 2913495
Campanato estimates for the generalized Stokes System
Diening L, Kaplicky P, Schwarzacher S (2014)
Annali di Matematica Pura ed Applicata. Series IV 193(6): 1779-1794.
PUB | DOI | WoS | arXiv
 
[47]
2013 | Journal Article | PUB-ID: 2913500
On the key estimate for variable exponent spaces
Diening L, Schwarzacher S (2013)
Azerbaijan Journal of Mathematics 3(2): 62-69.
PUB
 
[46]
2013 | Journal Article | PUB-ID: 2913501
Convex hull property and maximum principle for finite element minimisers of general convex functionals
Diening L, Kreuzer C, Schwarzacher S (2013)
Numerische Mathematik 124(4): 685-700.
PUB | DOI | WoS
 
[45]
2013 | Journal Article | PUB-ID: 2913502
$L^q$ theory for a generalized Stokes system
Diening L, Kaplicky P (2013)
Manuscripta Mathematica 141(1-2): 333-361.
PUB | DOI | WoS
 
[44]
2013 | Journal Article | PUB-ID: 2913499
Solenoidal Lipschitz truncation for parabolic PDEs
Breit D, Diening L, Schwarzacher S (2013)
Mathematical Models and Methods in Applied Sciences 23(14): 2671-2700.
PUB | DOI | WoS | arXiv
 
[43]
2013 | Journal Article | PUB-ID: 2913503
Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
Diening L, Kreuzer C, Süli E (2013)
SIAM Journal on Numerical Analysis 51(2): 984-1015.
PUB | DOI | WoS | arXiv
 
[42]
2012 | Journal Article | PUB-ID: 2913509
On the finite element approximation of $p$-Stokes systems
Belenki L, Berselli LC, Diening L, Růžička M (2012)
SIAM Journal on Numerical Analysis 50(2): 373-397.
PUB | DOI | WoS
 
[41]
2012 | Journal Article | PUB-ID: 2913511
BMO estimates for the $p$-Laplacian
Diening L, Kaplicky P, Schwarzacher S (2012)
Nonlinear Analysis. Theory, Methods & Applications. An international multidisciplinary journal 75(2): 637-650.
PUB | DOI | WoS
 
[40]
2012 | Journal Article | PUB-ID: 2913504
Partial regularity for minimizers of quasi-convex functionals with general growth
Diening L, Lengeler D, Stroffolini B, Verde A (2012)
SIAM Journal on Mathematical Analysis 44(5): 3594-3616.
PUB | DOI | WoS | arXiv
 
[39]
2012 | Journal Article | PUB-ID: 2913506
Sharp conditions for Korn inequalities in Orlicz spaces
Breit D, Diening L (2012)
Journal of Mathematical Fluid Mechanics 14(3): 565-573.
PUB | DOI | WoS
 
[38]
2012 | Journal Article | PUB-ID: 2913505
Monotone operator theory for unsteady problems in variable exponent spaces
Diening L, Nägele P, Růžička M (2012)
Complex Variables and Elliptic Equations. An International Journal 57(11): 1209-1231.
PUB | DOI | WoS
 
[37]
2012 | Journal Article | PUB-ID: 2913429
Convex Hull Property and Maximum Principle for Finite Element Minimizers of General Convex Functionals
Diening L, Kreuzer C, Schwarzacher S (2012)
SIAM Journal on Mathematical Analysis 44(5): 3594-3616.
PUB | DOI | WoS | arXiv
 
[36]
2012 | Journal Article | PUB-ID: 2913507
The $\phi$-harmonic approximation and the regularity of $\phi$-harmonic maps
Diening L, Stroffolini B, Verde A (2012)
Journal of Differential Equations 253(7): 1943-1958.
PUB | DOI | WoS
 
[35]
2012 | Journal Article | PUB-ID: 2913508
Solenoidal Lipschitz truncation and applications in fluid mechanics
Breit D, Diening L, Fuchs M (2012)
Journal of Differential Equations 253(6): 1910-1942.
PUB | DOI | WoS
 
[34]
2012 | Journal Article | PUB-ID: 2913510
Optimality of an adaptive finite element method for the $p$-Laplacian equation
Belenki L, Diening L, Kreuzer C (2012)
IMA Journal of Numerical Analysis 32(2): 484-510.
PUB | DOI | WoS
 
[33]
2011 | Journal Article | PUB-ID: 2913516
Lipschitz regularity for some asymptotically convex problems
Diening L, Stroffolini B, Verde A (2011)
ESAIM. Control, Optimisation and Calculus of Variations 17(1): 178-189.
PUB | DOI | WoS
 
[32]
2011 | Journal Article | PUB-ID: 2913512
The maximal operator on weighted variable Lebesgue spaces
Cruz-Uribe D, Diening L, Hästö P (2011)
Fractional Calculus and Applied Analysis. An International Journal for Theory and Applications 14(3): 361-374.
PUB | DOI | WoS
 
[31]
2011 | Journal Article | PUB-ID: 2913513
The Stokes and Poisson problem in variable exponent spaces
Diening L, Lengeler D, Růžička M (2011)
Complex Variables and Elliptic Equations. An International Journal 56(7-9): 789-811.
PUB | DOI | WoS | arXiv
 
[30]
2011 | Journal Article | PUB-ID: 2913514
On potentials in generalized Hölder spaces over uniform domains in $\Bbb R^n$
Diening L, Samko SG (2011)
Revista Matemática Complutense 24(2): 357-373.
PUB | DOI | WoS
 
[29]
2011 | Book | PUB-ID: 2913515
Lebesgue and Sobolev spaces with variable exponents
Diening L, Harjulehto P, Hästö P, Růžička M (2011) Lecture Notes in Mathematics; 2017.
Berlin ; Heidelberg: Springer.
PUB | DOI | WoS
 
[28]
2010 | Conference Paper | PUB-ID: 2913517
Extensions in spaces with variable exponents - the half space
Diening L, Fröschl S (2010)
In: Harmonic Analysis and Nonlinear Partial Differential Equations. Tsutsumi Y (Ed); RIMS Kokyuroku Bessatsu, B22. Kyoto, Japan: Research Institute for Mathematical Sciences (RIMS): 71-92.
PUB
 
[27]
2010 | Journal Article | PUB-ID: 2913520
An existence result for non-Newtonian fluids in non-regular domains
Diening L, Růžička M (2010)
Discrete and Continuous Dynamical Systems. Series S 3(2): 255-268.
PUB | DOI
 
[26]
2010 | Journal Article | PUB-ID: 2913518
Existence of weak solutions for unsteady motions of generalized Newtonian fluids
Diening L, Růžička M, Wolf J (2010)
Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9(1): 1-46.
PUB
 
[25]
2010 | Journal Article | PUB-ID: 2913519
A decomposition technique for John domains
Diening L, Růžička M, Schumacher K (2010)
Annales Academiæ Scientiarum Fennicæ. Mathematica 35(1): 87-114.
PUB | DOI
 
[24]
2010 | Journal Article | PUB-ID: 2913521
Existence of strong solutions for incompressible fluids with shear dependent viscosities
Berselli LC, Diening L, Růžička M (2010)
Journal of Mathematical Fluid Mechanics 12(1): 101-132.
PUB | DOI | WoS
 
[23]
2009 | Journal Article | PUB-ID: 2913523
Everywhere regularity of functionals with $\phi$-growth
Diening L, Stroffolini B, Verde A (2009)
Manuscripta Mathematica 129(4): 449-481.
PUB | DOI | WoS
 
[22]
2009 | Journal Article | PUB-ID: 2913524
Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities
Berselli LC, Diening L, Růžička M (2009)
SIAM Journal on Numerical Analysis 47(3): 2177-2202.
PUB | DOI | WoS
 
[21]
2009 | Journal Article | PUB-ID: 2913525
Function spaces of variable smoothness and integrability
Diening L, Hästö P, Roudenko S (2009)
Journal of Functional Analysis 256(6): 1731-1768.
PUB | DOI | WoS | arXiv
 
[20]
2009 | Journal Article | PUB-ID: 2913526
A new proof of the boundedness of maximal operators on variable Lebesgue spaces
Cruz-Uribe D, Diening L, Fiorenza A (2009)
Bollettino della Unione Matematica Italiana. Serie 9 2(1): 151-173.
PUB
 
[19]
2009 | Journal Article | PUB-ID: 2913522
Maximal functions in variable exponent spaces: limiting cases of the exponent
Diening L, Harjulehto P, Hästö P, Mizuta Y, Shimomura T (2009)
Annales Academiæ Scientiarum Fennicæ. Mathematica 34(2): 503-522.
PUB
 
[18]
2008 | Journal Article | PUB-ID: 2913528
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
Diening L, Málek J, Steinhauer M (2008)
ESAIM. Control, Optimisation and Calculus of Variations 14(2): 211-232.
PUB | DOI | WoS
 
[17]
2008 | Journal Article | PUB-ID: 2913529
Linear convergence of an adaptive finite element method for the $p$-Laplacian equation
Diening L, Kreuzer C (2008)
SIAM Journal on Numerical Analysis 46(2): 614-638.
PUB | DOI | WoS
 
[16]
2008 | Journal Article | PUB-ID: 2913527
Fractional estimates for non-differentiable elliptic systems with general growth
Diening L, Ettwein F (2008)
Forum Mathematicum 20(3): 523-556.
PUB | DOI | WoS
 
[15]
2007 | Book Chapter | PUB-ID: 2913530
Non-Newtonian fluids and function spaces
Růžička M, Diening L (2007)
In: Nonlinear analysis, function spaces and applications. Proceedings of the Spring School held in Prague, May 30-June 6, 2006. Vol. 8. Rákosník J (Ed); Praha: Institute of Mathematics of the Academy of Sciences of the Czech Republic: 95-143.
PUB
 
[14]
2007 | Journal Article | PUB-ID: 2913535
Optimal convergence for the implicit space-time discretization of parabolic systems with $p$-structure
Diening L, Ebmeyer C, Růžička M (2007)
SIAM Journal on Numerical Analysis 45(2): 457-472.
PUB | DOI | WoS
 
[13]
2007 | Journal Article | PUB-ID: 2913531
Variable exponent trace spaces
Diening L, Hästö P (2007)
Studia Mathematica 183(2): 127-141.
PUB | DOI | WoS
 
[12]
2007 | Journal Article | PUB-ID: 2913532
Hardy inequality in variable exponent Lebesgue spaces
Diening L, Samko SG (2007)
Fractional Calculus & Applied Analysis. An International Journal for Theory and Applications 10(1): 1-18.
PUB
 
[11]
2007 | Journal Article | PUB-ID: 2913533
$C^{1,\alpha}$-regularity for electrorheological fluids in two dimensions
Diening L, Ettwein F, Růžička M (2007)
NoDEA. Nonlinear Differential Equations and Applications 14(1-2): 207-217.
PUB | DOI | WoS
 
[10]
2007 | Journal Article | PUB-ID: 2913534
Interpolation operators in Orlicz-Sobolev spaces
Diening L, Růžička M (2007)
Numerische Mathematik 107(1): 107-129.
PUB | DOI | WoS
 
[9]
2006 | Journal Article | PUB-ID: 2913536
Semi-implicit Euler scheme for generalized Newtonian fluids
Diening L, Prohl A, Růžička M (2006)
SIAM Journal on Numerical Analysis 44(3): 1172-1190.
PUB | DOI | WoS
 
[8]
2005 | Journal Article | PUB-ID: 2913537
Strong solutions for generalized Newtonian fluids
Diening L, Růžička M (2005)
Journal of Mathematical Fluid Mechanics 7(3): 413-450.
PUB | DOI | WoS
 
[7]
2005 | Journal Article | PUB-ID: 2913538
Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces
Diening L (2005)
Bulletin des Sciences Mathématiques 129(8): 657-700.
PUB | DOI | WoS
 
[6]
2004 | Journal Article | PUB-ID: 2913542 PUB | DOI | WoS
 
[5]
2004 | Journal Article | PUB-ID: 2913540
Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. I
Diening L, Růžička M (2004)
Journal of Mathematical Analysis and Applications 298(2): 559-571.
PUB | DOI | WoS
 
[4]
2004 | Journal Article | PUB-ID: 2913539
Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. II
Diening L, Růžička M (2004)
Journal of Mathematical Analysis and Applications 298(2): 572-588.
PUB | DOI | WoS
 
[3]
2004 | Journal Article | PUB-ID: 2913541
Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$
Diening L (2004)
Mathematical Inequalities & Applications 7(2): 245-253.
PUB | DOI
 
[2]
2003 | Journal Article | PUB-ID: 2913543
Calderón-Zygmund operators on generalized Lebesgue spaces $L^{p(\cdot)}$ and problems related to fluid dynamics
Diening L, Růžička M (2003)
Journal für die Reine und Angewandte Mathematik. [Crelle's Journal] 563: 197-220.
PUB | DOI
 
[1]
2002 | Book Chapter | PUB-ID: 2913544
On time discretizations for generalized Newtonian fluids
Diening L, Prohl A, Růžička M (2002)
In: Nonlinear problems in mathematical physics and related topics: in honor of Professor O. A. Ladyzhenskaya, Vol. 2. Birman MS, Hildebrandt S, Solonnikov VA, Uraltseva NN (Eds); International Mathematical Series, 2. New York, NY: Kluwer/Plenum: 89-118.
PUB | DOI
 

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66 Data Publications

Mark all

[66]
2017 | Journal Article | PUB-ID: 2913484
Parabolic Lipschitz truncation and Caloric Approximation
Diening L, Schwarzacher S, Stroffolini B, Verde A (2017)
Calculus of Variations and Partial Differential Equations 56(4): 120.
PUB | DOI | WoS | arXiv
 
[65]
2017 | Journal Article | PUB-ID: 2913485
Trace-free Korn inequalities in Orlicz spaces
Breit D, Cianchi A, Diening L (2017)
SIAM Journal on Mathematical Analysis 49(4): 2496-2526.
PUB | DOI | WoS | arXiv
 
[64]
2017 | Preprint | PUB-ID: 2913416
A Relaxed Kačanov Iteration for the $p$-Poisson Problem
Diening L, Fornasier M, Wank M (2017)
arXiv:1702.03844.
PUB | arXiv
 
[63]
2017 | Journal Article | PUB-ID: 2913486
The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system
Diening L, Feireisl E, Lu Y (2017)
ESAIM. Control, Optimisation and Calculus of Variations 23(3): 851-868.
PUB | DOI | WoS | arXiv
 
[62]
2017 | Journal Article | PUB-ID: 2913487
The $p$-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates
Breit D, Cianchi A, Diening L, Kuusi T, Schwarzacher S (2017)
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 153: 200-212.
PUB | DOI | WoS
 
[61]
2017 | Preprint | PUB-ID: 2913415
Traces of functions of bounded A-variation and variational problems with linear growth
Breit D, Diening L, Gmeineder F (2017)
arXiv:1707.06804.
PUB | arXiv
 
[60]
2016 | Preprint | PUB-ID: 2913439
Regularity for parabolic systems of Uhlenbeck type with Orlicz growth
Diening L, Scharle T, Schwarzacher S (2016)
arXiv:1603.05604.
PUB | arXiv
 
[59]
2016 | Journal Article | PUB-ID: 2913491
Instance optimality of the adaptive maximum strategy
Diening L, Kreuzer C, Stevenson R (2016)
Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics 16(1): 33-68.
PUB | DOI | WoS | arXiv
 
[58]
2016 | Book Chapter | PUB-ID: 2913489
Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows
Abels H, Diening L, Terasawa Y (2016)
In: Recent developments of mathematical fluid mechanics. Amann H, Giga Y, Kozono H, Okamoto H, Yamazaki M (Eds); Advances in Mathematical Fluid Mechanics. Basel: Birkhäuser: 13-23.
PUB
 
[57]
2016 | Journal Article | PUB-ID: 2913492
Besov regularity of solutions to the $p$-Poisson equation
Dahlke S, Diening L, Hartmann C, Scharf B, Weimar M (2016)
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 130: 298-329.
PUB | DOI | WoS | arXiv
 
[56]
2016 | Journal Article | PUB-ID: 2913419
Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems
Bulíček M, Diening L, Schwarzacher S (2016)
Analysis & PDE 9(5): 1115-1151.
PUB | DOI | WoS | arXiv
 
[55]
2016 | Journal Article | PUB-ID: 2913490
Convergence analysis for a finite element approximation of a steady model for electrorheological fluids
Berselli LC, Breit D, Diening L (2016)
Numerische Mathematik 132(4): 657-689.
PUB | DOI | WoS | arXiv
 
[54]
2015 | Journal Article | PUB-ID: 2913494
Finite element approximation of the $p(\cdot)$-Laplacian
Breit D, Diening L, Schwarzacher S (2015)
SIAM Journal on Numerical Analysis 53(1): 551-572.
PUB | DOI | WoS | arXiv
 
[53]
2015 | Journal Article | PUB-ID: 2913493
Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids
Berselli LC, Diening L, Růžička M (2015)
IMA Journal of Numerical Analysis 35(2): 680-697.
PUB | DOI | WoS | arXiv
 
[52]
2015 | Preprint | PUB-ID: 2913420
Pointwise Calderón-Zygmund gradient estimates for the $p$-Laplace system
Breit D, Cianchi A, Diening L, Kuusi T, Schwarzacher S (2015)
arXiv:1510.02612.
PUB | arXiv
 
[51]
2014 | Journal Article | PUB-ID: 2913496
A local discontinuous Galerkin approximation for systems with $p$-structure
Diening L, Kröner D, Růžička M, Toulopoulos I (2014)
IMA Journal of Numerical Analysis 34(4): 1447-1488.
PUB | DOI | WoS
 
[50]
2014 | Journal Article | PUB-ID: 2913497
Global gradient estimates for the $p(\cdot)$-Laplacian
Diening L, Schwarzacher S (2014)
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 106: 70-85.
PUB | DOI | WoS | arXiv
 
[49]
2014 | Journal Article | PUB-ID: 2913498
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows
Abels H, Diening L, Terasawa Y (2014)
Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal 15: 149-157.
PUB | DOI | WoS | arXiv
 
[48]
2014 | Journal Article | PUB-ID: 2913495
Campanato estimates for the generalized Stokes System
Diening L, Kaplicky P, Schwarzacher S (2014)
Annali di Matematica Pura ed Applicata. Series IV 193(6): 1779-1794.
PUB | DOI | WoS | arXiv
 
[47]
2013 | Journal Article | PUB-ID: 2913500
On the key estimate for variable exponent spaces
Diening L, Schwarzacher S (2013)
Azerbaijan Journal of Mathematics 3(2): 62-69.
PUB
 
[46]
2013 | Journal Article | PUB-ID: 2913501
Convex hull property and maximum principle for finite element minimisers of general convex functionals
Diening L, Kreuzer C, Schwarzacher S (2013)
Numerische Mathematik 124(4): 685-700.
PUB | DOI | WoS
 
[45]
2013 | Journal Article | PUB-ID: 2913502
$L^q$ theory for a generalized Stokes system
Diening L, Kaplicky P (2013)
Manuscripta Mathematica 141(1-2): 333-361.
PUB | DOI | WoS
 
[44]
2013 | Journal Article | PUB-ID: 2913499
Solenoidal Lipschitz truncation for parabolic PDEs
Breit D, Diening L, Schwarzacher S (2013)
Mathematical Models and Methods in Applied Sciences 23(14): 2671-2700.
PUB | DOI | WoS | arXiv
 
[43]
2013 | Journal Article | PUB-ID: 2913503
Finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
Diening L, Kreuzer C, Süli E (2013)
SIAM Journal on Numerical Analysis 51(2): 984-1015.
PUB | DOI | WoS | arXiv
 
[42]
2012 | Journal Article | PUB-ID: 2913509
On the finite element approximation of $p$-Stokes systems
Belenki L, Berselli LC, Diening L, Růžička M (2012)
SIAM Journal on Numerical Analysis 50(2): 373-397.
PUB | DOI | WoS
 
[41]
2012 | Journal Article | PUB-ID: 2913511
BMO estimates for the $p$-Laplacian
Diening L, Kaplicky P, Schwarzacher S (2012)
Nonlinear Analysis. Theory, Methods & Applications. An international multidisciplinary journal 75(2): 637-650.
PUB | DOI | WoS
 
[40]
2012 | Journal Article | PUB-ID: 2913504
Partial regularity for minimizers of quasi-convex functionals with general growth
Diening L, Lengeler D, Stroffolini B, Verde A (2012)
SIAM Journal on Mathematical Analysis 44(5): 3594-3616.
PUB | DOI | WoS | arXiv
 
[39]
2012 | Journal Article | PUB-ID: 2913506
Sharp conditions for Korn inequalities in Orlicz spaces
Breit D, Diening L (2012)
Journal of Mathematical Fluid Mechanics 14(3): 565-573.
PUB | DOI | WoS
 
[38]
2012 | Journal Article | PUB-ID: 2913505
Monotone operator theory for unsteady problems in variable exponent spaces
Diening L, Nägele P, Růžička M (2012)
Complex Variables and Elliptic Equations. An International Journal 57(11): 1209-1231.
PUB | DOI | WoS
 
[37]
2012 | Journal Article | PUB-ID: 2913429
Convex Hull Property and Maximum Principle for Finite Element Minimizers of General Convex Functionals
Diening L, Kreuzer C, Schwarzacher S (2012)
SIAM Journal on Mathematical Analysis 44(5): 3594-3616.
PUB | DOI | WoS | arXiv
 
[36]
2012 | Journal Article | PUB-ID: 2913507
The $\phi$-harmonic approximation and the regularity of $\phi$-harmonic maps
Diening L, Stroffolini B, Verde A (2012)
Journal of Differential Equations 253(7): 1943-1958.
PUB | DOI | WoS
 
[35]
2012 | Journal Article | PUB-ID: 2913508
Solenoidal Lipschitz truncation and applications in fluid mechanics
Breit D, Diening L, Fuchs M (2012)
Journal of Differential Equations 253(6): 1910-1942.
PUB | DOI | WoS
 
[34]
2012 | Journal Article | PUB-ID: 2913510
Optimality of an adaptive finite element method for the $p$-Laplacian equation
Belenki L, Diening L, Kreuzer C (2012)
IMA Journal of Numerical Analysis 32(2): 484-510.
PUB | DOI | WoS
 
[33]
2011 | Journal Article | PUB-ID: 2913516
Lipschitz regularity for some asymptotically convex problems
Diening L, Stroffolini B, Verde A (2011)
ESAIM. Control, Optimisation and Calculus of Variations 17(1): 178-189.
PUB | DOI | WoS
 
[32]
2011 | Journal Article | PUB-ID: 2913512
The maximal operator on weighted variable Lebesgue spaces
Cruz-Uribe D, Diening L, Hästö P (2011)
Fractional Calculus and Applied Analysis. An International Journal for Theory and Applications 14(3): 361-374.
PUB | DOI | WoS
 
[31]
2011 | Journal Article | PUB-ID: 2913513
The Stokes and Poisson problem in variable exponent spaces
Diening L, Lengeler D, Růžička M (2011)
Complex Variables and Elliptic Equations. An International Journal 56(7-9): 789-811.
PUB | DOI | WoS | arXiv
 
[30]
2011 | Journal Article | PUB-ID: 2913514
On potentials in generalized Hölder spaces over uniform domains in $\Bbb R^n$
Diening L, Samko SG (2011)
Revista Matemática Complutense 24(2): 357-373.
PUB | DOI | WoS
 
[29]
2011 | Book | PUB-ID: 2913515
Lebesgue and Sobolev spaces with variable exponents
Diening L, Harjulehto P, Hästö P, Růžička M (2011) Lecture Notes in Mathematics; 2017.
Berlin ; Heidelberg: Springer.
PUB | DOI | WoS
 
[28]
2010 | Conference Paper | PUB-ID: 2913517
Extensions in spaces with variable exponents - the half space
Diening L, Fröschl S (2010)
In: Harmonic Analysis and Nonlinear Partial Differential Equations. Tsutsumi Y (Ed); RIMS Kokyuroku Bessatsu, B22. Kyoto, Japan: Research Institute for Mathematical Sciences (RIMS): 71-92.
PUB
 
[27]
2010 | Journal Article | PUB-ID: 2913520
An existence result for non-Newtonian fluids in non-regular domains
Diening L, Růžička M (2010)
Discrete and Continuous Dynamical Systems. Series S 3(2): 255-268.
PUB | DOI
 
[26]
2010 | Journal Article | PUB-ID: 2913518
Existence of weak solutions for unsteady motions of generalized Newtonian fluids
Diening L, Růžička M, Wolf J (2010)
Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 9(1): 1-46.
PUB
 
[25]
2010 | Journal Article | PUB-ID: 2913519
A decomposition technique for John domains
Diening L, Růžička M, Schumacher K (2010)
Annales Academiæ Scientiarum Fennicæ. Mathematica 35(1): 87-114.
PUB | DOI
 
[24]
2010 | Journal Article | PUB-ID: 2913521
Existence of strong solutions for incompressible fluids with shear dependent viscosities
Berselli LC, Diening L, Růžička M (2010)
Journal of Mathematical Fluid Mechanics 12(1): 101-132.
PUB | DOI | WoS
 
[23]
2009 | Journal Article | PUB-ID: 2913523
Everywhere regularity of functionals with $\phi$-growth
Diening L, Stroffolini B, Verde A (2009)
Manuscripta Mathematica 129(4): 449-481.
PUB | DOI | WoS
 
[22]
2009 | Journal Article | PUB-ID: 2913524
Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities
Berselli LC, Diening L, Růžička M (2009)
SIAM Journal on Numerical Analysis 47(3): 2177-2202.
PUB | DOI | WoS
 
[21]
2009 | Journal Article | PUB-ID: 2913525
Function spaces of variable smoothness and integrability
Diening L, Hästö P, Roudenko S (2009)
Journal of Functional Analysis 256(6): 1731-1768.
PUB | DOI | WoS | arXiv
 
[20]
2009 | Journal Article | PUB-ID: 2913526
A new proof of the boundedness of maximal operators on variable Lebesgue spaces
Cruz-Uribe D, Diening L, Fiorenza A (2009)
Bollettino della Unione Matematica Italiana. Serie 9 2(1): 151-173.
PUB
 
[19]
2009 | Journal Article | PUB-ID: 2913522
Maximal functions in variable exponent spaces: limiting cases of the exponent
Diening L, Harjulehto P, Hästö P, Mizuta Y, Shimomura T (2009)
Annales Academiæ Scientiarum Fennicæ. Mathematica 34(2): 503-522.
PUB
 
[18]
2008 | Journal Article | PUB-ID: 2913528
On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
Diening L, Málek J, Steinhauer M (2008)
ESAIM. Control, Optimisation and Calculus of Variations 14(2): 211-232.
PUB | DOI | WoS
 
[17]
2008 | Journal Article | PUB-ID: 2913529
Linear convergence of an adaptive finite element method for the $p$-Laplacian equation
Diening L, Kreuzer C (2008)
SIAM Journal on Numerical Analysis 46(2): 614-638.
PUB | DOI | WoS
 
[16]
2008 | Journal Article | PUB-ID: 2913527
Fractional estimates for non-differentiable elliptic systems with general growth
Diening L, Ettwein F (2008)
Forum Mathematicum 20(3): 523-556.
PUB | DOI | WoS
 
[15]
2007 | Book Chapter | PUB-ID: 2913530
Non-Newtonian fluids and function spaces
Růžička M, Diening L (2007)
In: Nonlinear analysis, function spaces and applications. Proceedings of the Spring School held in Prague, May 30-June 6, 2006. Vol. 8. Rákosník J (Ed); Praha: Institute of Mathematics of the Academy of Sciences of the Czech Republic: 95-143.
PUB
 
[14]
2007 | Journal Article | PUB-ID: 2913535
Optimal convergence for the implicit space-time discretization of parabolic systems with $p$-structure
Diening L, Ebmeyer C, Růžička M (2007)
SIAM Journal on Numerical Analysis 45(2): 457-472.
PUB | DOI | WoS
 
[13]
2007 | Journal Article | PUB-ID: 2913531
Variable exponent trace spaces
Diening L, Hästö P (2007)
Studia Mathematica 183(2): 127-141.
PUB | DOI | WoS
 
[12]
2007 | Journal Article | PUB-ID: 2913532
Hardy inequality in variable exponent Lebesgue spaces
Diening L, Samko SG (2007)
Fractional Calculus & Applied Analysis. An International Journal for Theory and Applications 10(1): 1-18.
PUB
 
[11]
2007 | Journal Article | PUB-ID: 2913533
$C^{1,\alpha}$-regularity for electrorheological fluids in two dimensions
Diening L, Ettwein F, Růžička M (2007)
NoDEA. Nonlinear Differential Equations and Applications 14(1-2): 207-217.
PUB | DOI | WoS
 
[10]
2007 | Journal Article | PUB-ID: 2913534
Interpolation operators in Orlicz-Sobolev spaces
Diening L, Růžička M (2007)
Numerische Mathematik 107(1): 107-129.
PUB | DOI | WoS
 
[9]
2006 | Journal Article | PUB-ID: 2913536
Semi-implicit Euler scheme for generalized Newtonian fluids
Diening L, Prohl A, Růžička M (2006)
SIAM Journal on Numerical Analysis 44(3): 1172-1190.
PUB | DOI | WoS
 
[8]
2005 | Journal Article | PUB-ID: 2913537
Strong solutions for generalized Newtonian fluids
Diening L, Růžička M (2005)
Journal of Mathematical Fluid Mechanics 7(3): 413-450.
PUB | DOI | WoS
 
[7]
2005 | Journal Article | PUB-ID: 2913538
Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces
Diening L (2005)
Bulletin des Sciences Mathématiques 129(8): 657-700.
PUB | DOI | WoS
 
[6]
2004 | Journal Article | PUB-ID: 2913542 PUB | DOI | WoS
 
[5]
2004 | Journal Article | PUB-ID: 2913540
Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. I
Diening L, Růžička M (2004)
Journal of Mathematical Analysis and Applications 298(2): 559-571.
PUB | DOI | WoS
 
[4]
2004 | Journal Article | PUB-ID: 2913539
Integral operators on the halfspace in generalized Lebesgue spaces $L^{p(\cdot)}$. II
Diening L, Růžička M (2004)
Journal of Mathematical Analysis and Applications 298(2): 572-588.
PUB | DOI | WoS
 
[3]
2004 | Journal Article | PUB-ID: 2913541
Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$
Diening L (2004)
Mathematical Inequalities & Applications 7(2): 245-253.
PUB | DOI
 
[2]
2003 | Journal Article | PUB-ID: 2913543
Calderón-Zygmund operators on generalized Lebesgue spaces $L^{p(\cdot)}$ and problems related to fluid dynamics
Diening L, Růžička M (2003)
Journal für die Reine und Angewandte Mathematik. [Crelle's Journal] 563: 197-220.
PUB | DOI
 
[1]
2002 | Book Chapter | PUB-ID: 2913544
On time discretizations for generalized Newtonian fluids
Diening L, Prohl A, Růžička M (2002)
In: Nonlinear problems in mathematical physics and related topics: in honor of Professor O. A. Ladyzhenskaya, Vol. 2. Birman MS, Hildebrandt S, Solonnikov VA, Uraltseva NN (Eds); International Mathematical Series, 2. New York, NY: Kluwer/Plenum: 89-118.
PUB | DOI
 

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