Constant-Sign and Nodal Solutions to a Dirichlet Problem with p-Laplacian and Nonlinearity Depending on a Parameter

DOI10.1017/S0013091513000515zbMath1303.35015OpenAlexW2319791855MaRDI QIDQ5419413

Salvatore A. Marano, Nikolaos S. Papageorgiou

Publication date: 6 June 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091513000515

zbMATH Keywords

\(p\)-Laplaciannodal solutionsconstant-sign solutionsconcave-convex nonlinearities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

On a Robin problem with \(p\)-Laplacian and reaction bounded only from above ⋮ On a Dirichlet problem with \(p\)-Laplacian and asymmetric nonlinearity ⋮ Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction

Cites Work

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• Nodal and multiple constant sign solutions for resonant \(p\)-Laplacian equations with a nonsmooth potential
• Multiplicity of solutions for parametric \(p\)-Laplacian equations with nonlinearity concave near the origin
• A mountain pass theorem
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Existence and multiplicity results for Dirichlet problems with \(p\)-Laplacian.
• A strong maximum principle for some quasilinear elliptic equations
• Eigenvalue problems for the \(p\)-Laplacian
• The Ambrosetti–Prodi Problem for thep-Laplace Operator

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