Global regularity for nonlinear systems with symmetric gradients
Behn L, Diening L (2024)
Calculus of Variations and Partial Differential Equations 63(3): 60.
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Abstract / Bemerkung
We study global regularity of nonlinear systems of partial differential equations depending on the symmetric part of the gradient with Dirichlet boundary conditions. These systems arise from variational problems in plasticity with power growth. We cover the full range of exponents . As a novelty the degenerate case for is included. We present a unified approach for all exponents by showing the regularity for general systems of Orlicz growth.
Stichworte
35J57;
35B65;
74C05;
35J60;
35B65
Erscheinungsjahr
2024
Zeitschriftentitel
Calculus of Variations and Partial Differential Equations
Band
63
Ausgabe
3
Art.-Nr.
60
Urheberrecht / Lizenzen
ISSN
0944-2669
eISSN
1432-0835
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Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
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https://pub.uni-bielefeld.de/record/2984029
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Behn L, Diening L. Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations. 2024;63(3): 60.
Behn, L., & Diening, L. (2024). Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations, 63(3), 60. https://doi.org/10.1007/s00526-024-02666-z
Behn, Linus, and Diening, Lars. 2024. “Global regularity for nonlinear systems with symmetric gradients”. Calculus of Variations and Partial Differential Equations 63 (3): 60.
Behn, L., and Diening, L. (2024). Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations 63:60.
Behn, L., & Diening, L., 2024. Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations, 63(3): 60.
L. Behn and L. Diening, “Global regularity for nonlinear systems with symmetric gradients”, Calculus of Variations and Partial Differential Equations, vol. 63, 2024, : 60.
Behn, L., Diening, L.: Global regularity for nonlinear systems with symmetric gradients. Calculus of Variations and Partial Differential Equations. 63, : 60 (2024).
Behn, Linus, and Diening, Lars. “Global regularity for nonlinear systems with symmetric gradients”. Calculus of Variations and Partial Differential Equations 63.3 (2024): 60.
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arXiv: 2310.17310
Preprint: 10.48550/arXiv.2310.17310
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