Integrability for solutions to some anisotropic obstacle problems

DOI10.1007/s00229-014-0705-7zbMath1312.35089OpenAlexW2057622184MaRDI QIDQ2017737

Dongna Ma, Qinghua Di, Hongya Gao

Publication date: 23 March 2015

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-014-0705-7

zbMATH Keywords

obstacle problemsEuler equationanisotropic elliptic equationsintegrability for solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Integral representations of solutions to PDEs (35C15) Weak solutions to PDEs (35D30) Euler equations (35Q31)

Related Items

Global Integrability for Solutions to Obstacle Problems ⋮ Global integrability related to anisotropic operators ⋮ Regularity for minimizing sequences of some variational integrals ⋮ Regularity for entropy solutions to degenerate elliptic equations ⋮ Regularity for entropy solutions to degenerate elliptic equations with a convection term ⋮ Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems ⋮ Regularity for anisotropic elliptic equations with degenerate coercivity ⋮ Global regularity for minimizers of some anisotropic variational integrals ⋮ Global integrability for solutions to some anisotropic problem with nonstandard growth ⋮ Regularity for anisotropic solutions to some nonlinear elliptic system

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