Trace-free Korn inequalities in Orlicz spaces
Breit D, Cianchi A, Diening L (2017)
SIAM Journal on Mathematical Analysis 49(4): 2496-2526.
Zeitschriftenaufsatz
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Autor*in
Breit, Dominic;
Cianchi, Andrea;
Diening, LarsUniBi 
Einrichtung
Abstract / Bemerkung
Necessary and sufficient conditions are exhibited for a Korn type inequality
to hold between (possibly different) Orlicz norms of the gradient of
vector-valued functions and of the deviatoric part of their symmetric
gradients. As a byproduct of our approach, a positive answer is given to the
question of the necessity of the same sufficient conditions in related Korn
type inequalities for the full symmetric gradient, for negative Orlicz-Sobolev
norms, and for the gradient of the Bogovskii operator.
Erscheinungsjahr
2017
Zeitschriftentitel
SIAM Journal on Mathematical Analysis
Band
49
Ausgabe
4
Seite(n)
2496-2526
ISSN
0036-1410
Page URI
https://pub.uni-bielefeld.de/record/2913485
Zitieren
Breit D, Cianchi A, Diening L. Trace-free Korn inequalities in Orlicz spaces. SIAM Journal on Mathematical Analysis. 2017;49(4):2496-2526.
Breit, D., Cianchi, A., & Diening, L. (2017). Trace-free Korn inequalities in Orlicz spaces. SIAM Journal on Mathematical Analysis, 49(4), 2496-2526. doi:10.1137/16M1073662
Breit, Dominic, Cianchi, Andrea, and Diening, Lars. 2017. “Trace-free Korn inequalities in Orlicz spaces”. SIAM Journal on Mathematical Analysis 49 (4): 2496-2526.
Breit, D., Cianchi, A., and Diening, L. (2017). Trace-free Korn inequalities in Orlicz spaces. SIAM Journal on Mathematical Analysis 49, 2496-2526.
Breit, D., Cianchi, A., & Diening, L., 2017. Trace-free Korn inequalities in Orlicz spaces. SIAM Journal on Mathematical Analysis, 49(4), p 2496-2526.
D. Breit, A. Cianchi, and L. Diening, “Trace-free Korn inequalities in Orlicz spaces”, SIAM Journal on Mathematical Analysis, vol. 49, 2017, pp. 2496-2526.
Breit, D., Cianchi, A., Diening, L.: Trace-free Korn inequalities in Orlicz spaces. SIAM Journal on Mathematical Analysis. 49, 2496-2526 (2017).
Breit, Dominic, Cianchi, Andrea, and Diening, Lars. “Trace-free Korn inequalities in Orlicz spaces”. SIAM Journal on Mathematical Analysis 49.4 (2017): 2496-2526.
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