Combined effects of concave–convex nonlinearities and indefinite potential in some elliptic problems

DOI10.3233/ASY-151292zbMath1335.35081OpenAlexW2234982165MaRDI QIDQ3195305

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu

Publication date: 16 October 2015

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-151292

zbMATH Keywords

positive solution\(p\)-Laplaciannonlinear regularitysuperlinear perturbationindefinite concave term

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (3)

Positive solutions of nonuniformly elliptic equations with weighted convex-concave nonlinearity ⋮ An abstract critical point theorem with applications to elliptic problems with combined nonlinearities ⋮ Non-homogeneous Dirichlet problems with concave-convex reaction

Cites Work

• Existence of nonnegative solutions for quasilinear elliptic equations with indefinite critical nonlinearities
• Nonnegative solutions of elliptic problems with sublinear indefinite nonlinearity
• Multiplicity of solutions for parametric \(p\)-Laplacian equations with nonlinearity concave near the origin
• Combined effects of concave and convex nonlinearities in some elliptic problems
• \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
• Solutions to semilinear elliptic problems with combined nonlinearities
• Multiplicity of critical points in presence of a linking: application to a superlinear boundary value problem
• Positive solutions to a Dirichlet problem with \(p\)-Laplacian and concave-convex nonlinearity depending on a parameter
• Dual variational methods in critical point theory and applications
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• Boundary regularity for solutions of degenerate elliptic equations
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• The Ambrosetti–Prodi Problem for thep-Laplace Operator

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