Existence of Renormalized Solutions for Some Anisotropic Quasilinear Elliptic Equations

DOI10.46793/KgJMat2004.617AMaRDI QIDQ5881388

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Publication date: 9 March 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/62/12_eng.html

zbMATH Keywords

quasilinear elliptic equationsanisotropic Sobolev spacesrenormalized solutionsvariable exponents

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Anisotropic equations: uniqueness and existence results.
• Electrorheological fluids: modeling and mathematical theory
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Uniqueness result for nonlinear anisotropic elliptic equations
• An approximation result in generalized anisotropic Sobolev spaces and applications
• Existence and uniqueness for nonlinear anisotropic elliptic equations
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Renormalized solutions for nonlinear elliptic equations with variable exponents and \(L^1\) data
• Nonlinear and non-coercive elliptic problems with integrable data
• Mathematical modeling of electrorheological materials
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