Existence of entropy solutions of the anisotropic elliptic nonlinear problem with measure data in weighted Sobolev space

DOI10.5269/bspm.52541OpenAlexW4221057974MaRDI QIDQ6189625

Abderrazak Kassidi, Chakir Allalou, Adil Abbassi

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.52541

zbMATH Keywords

entropy solutionsweighted anisotropic Sobolev spaceanisotropic unilateral

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Cites Work

• Existence of solutions for a class of obstacle problems with \(L^1\)-data and without sign condition
• Anisotropic equations in weighted Sobolev spaces of higher order
• Semi-linear second-order elliptic equations in \(L^1\)
• Anisotropic equations in \(L^ 1\)
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Entropy solutions of anisotropic elliptic nonlinear obstacle problem with measure data
• Existence results for strongly nonlinear elliptic equations of infinite order
• Existence of solutions for some nonlinear elliptic unilateral problems with measure data
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