Competing anisotropic and Finsler \((p,q)\)-Laplacian problems

DOI10.1186/S13661-024-01847-1zbMATH Open1547.35395MaRDI QIDQ6571662

Dumitru Motreanu, Abdolrahman Razani

Publication date: 12 July 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

Dirichlet condition\((p,q)\)-LaplacianGalerkin-type methodgeneralized variational solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Anisotropic variable exponent Sobolev spaces and -Laplacian equations
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• Multiple solutions for a class of anisotropic \(\vec{p}\)-Laplacian problems
• Existence of infinitely many solutions for an anisotropic equation using genus theory
• Entire weak solutions for an anisotropic equation in the Heisenberg group
• A positive solution for an anisotropic \((p,q)\)-Laplacian
• Degenerated and competing anisotropic ( p,q )-Laplacians with weights

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