Existence, nonexistence and multiplicity of positive solutions for parametric nonlinear elliptic equations

Nikolaos S. Papageorgiou, Antonio Iannizzotto

Publication date: 16 April 2014

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1396966231

zbMATH Keywords

multiplicity of solutions positive solution nonlinear elliptic equation \(p\)-Laplacian

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

Nonlinear elliptic problems with superlinear reaction and parametric concave boundary condition ⋮ Multiple Solutions to (p,q)-Laplacian Problems with Resonant Concave Nonlinearity

Cites Work

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Nodal and multiple constant sign solutions for resonant \(p\)-Laplacian equations with a nonsmooth potential
Superlinear problems without Ambrosetti and Rabinowitz growth condition
Multiple positive solutions for nonlinear eigenvalue problems with the \(p\)-Laplacian
The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
Multiplicity of solutions for parametric \(p\)-Laplacian equations with nonlinearity concave near the origin
A multiplicity result for the \(p\)-Laplacian involving a parameter
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\(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
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SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
The Ambrosetti–Prodi Problem for thep-Laplace Operator
Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints
Multiplicity results for a degenerate elliptic equation with logistic reaction

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