Regularity for anisotropic solutions to some nonlinear elliptic system

DOI10.1007/s11464-015-0443-5zbMath1338.35079OpenAlexW2077611511MaRDI QIDQ256512

Shuang Liang, Yi Cui, Hongya Gao

Publication date: 9 March 2016

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0443-5

zbMATH Keywords

regularityanisotropic solutionnonlinear elliptic systemglobal pointwise boundsmonotonicity inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Related Items (3)

Anisotropic nonlinear elliptic system with degenerate coercivity and L^m data ⋮ Global integrability for solutions to quasilinear elliptic systems ⋮ Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems

Cites Work

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• Integrability for solutions to some anisotropic elliptic equations
• Local regularity for solutions of anisotropic obstacle problems
• Regularity for solutions to anisotropic obstacle problems
• Local boundedness for vector valued minimizers of anisotropic functionals
• Regularity of minima: an invitation to the dark side of the calculus of variations.
• Existence of bounded solutions to some nonlinear degenerate elliptic systems
• Regularity of minimizers of non-isotropic integrals of the calculus of variations
• Remarks on a paper by Leonetti and Siepe
• Local regularity results for minima of functionals of the calculus of variation
• Integrability for solutions to some anisotropic obstacle problems
• Global integrability for minimizers of anisotropic functionals
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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