EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF NONLINEAR DEGENERATE PARABOLIC EQUATIONS IN WEIGHTED SOBOLEV SPACE MOHAMED EL OUAARABI, CHAKIR ALLALOU AND SAID MELLIANI

DOI10.21608/ejmaa.2023.284571OpenAlexW4320886220MaRDI QIDQ6142960

Said Melliani, Chakir Allalou, Mohamed El Ouaarabi

Publication date: 23 January 2024

Published in: Electronic Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21608/ejmaa.2023.284571

zbMATH Keywords

weak solutionweighted Sobolev spacestopological degreenonlinear degenerate parabolic equations

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Degree theory for nonlinear operators (47H11) Weak solutions to PDEs (35D30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Cites Work

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• Electrorheological fluids: modeling and mathematical theory
• A degree theory for compact perturbations of monotone type operators and application to nonlinear parabolic problem
• Existence result for a Dirichlet problem governed by nonlinear degenerate elliptic equation in weighted Sobolev spaces
• Existence of weak solution for a class of \(p(x)\)-Laplacian problems depending on three real parameters with Dirichlet condition
• On the topological degree for mappings of monotone type

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