Pairs of positive solutions for singular \(p\)-Laplacian equations with a \(p\)-superlinear potential

DOI10.1016/j.na.2010.04.019zbMath1192.35082OpenAlexW1966240402MaRDI QIDQ984085

Sophia Th. Kyritsi, Nikolaos S. Papageorgiou

Publication date: 13 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.019

zbMATH Keywords

mountain pass theoremupper and lower solutions\(p\)-Laplaciansingular equationC-condition\(p\)-superlinear term

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (9)

Kirchhoff type equations with strong singularities ⋮ Dirichlet problems with singular and superlinear terms ⋮ Some recent results on singular \(p\)-Laplacian equations ⋮ Existence and multiplicity of positive solutions for parametric nonlinear nonhomogeneous singular Robin problems ⋮ Unnamed Item ⋮ Singular Neumann \((p, q)\)-equations ⋮ Positive solutions for anisotropic singular \((p,q)\)-equations ⋮ Existence of multiple positive solutions for singular p‐q‐Laplacian problems with critical nonlinearities ⋮ Positive solutions for nonlinear singular superlinear elliptic equations

Cites Work

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• A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations
• Multiple positive solutions of singular \(p\)-Laplacian problems by variational methods
• A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities
• On The Dirichletproblem for Quasilinear Equations
• On a dirichlet problem with a singular nonlinearity
• On a singular nonlinear semilinear elliptic problem
• Existence results for perturbations of the p-Laplacian
• Singular initial and boundary value problems with sign changing nonlinearities
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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