\(p\)-Laplace equations with singular weights

DOI10.1016/J.NA.2013.12.019zbMath1290.35130arXiv1310.1317OpenAlexW2124062719MaRDI QIDQ2439326

Inbo Sim, Perera, Kanishka

Publication date: 14 March 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1317

zbMATH Keywords

Dirichlet problemcritical groupsMorse theory\(p\)-Laplaciansingular weightsnontrivial solutionscohomological local splitting

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

On critical \(p\)-Laplacian systems ⋮ A note on fractional \(p\)-Laplacian problems with singular weights ⋮ Properties of eigenvalues and some regularities on fractional \(p\)-Laplacian with singular weights ⋮ NONTRIVIAL SOLUTION FOR A SECOND-ORDER BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN AND PERTURBATION

Cites Work

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• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
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• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Homotopical stability of isolated critical points of continuous functionals
• Applications of local linking to critical point theory
• One-dimensional \(p\)-Laplacian with a strong singular indefinite weight. I: Eigenvalue
• Quasilinear elliptic equations involving critical Sobolev exponents
• NONTRIVIAL SOLUTIONS OF p-SUPERLINEAR p-LAPLACIAN PROBLEMS VIA A COHOMOLOGICAL LOCAL SPLITTING
• Homological local linking

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