A pair of positive solutions for the Dirichlet \(p(z)\)-Laplacian with concave and convex nonlinearities

DOI10.1007/S10898-011-9841-8zbMath1277.35182OpenAlexW1993225185WikidataQ112251799 ScholiaQ112251799MaRDI QIDQ2393061

Nikolaos S. Papageorgiou, Leszek Gasiński

Publication date: 7 August 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9841-8

zbMATH Keywords

maximum principlemountain pass theorempositive solutionsEkeland variational principlevariable exponentconcave and convex terms

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (16)

Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition ⋮ Multiplicity and concentration of positive solutions for fractional \(p\)-Laplacian problem involving concave-convex nonlinearity ⋮ Nonlinear noncoercive Neumann problems ⋮ Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems ⋮ Positive solutions for resonant \((p, q)\)-equations with concave terms ⋮ Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb {R}^N\) ⋮ Parametric anisotropic \((p, q)\)-Neumann problems ⋮ Unnamed Item ⋮ Positive solutions for anisotropic singular \((p,q)\)-equations ⋮ Constant sign solutions for variable exponent system Neumann boundary value problems with singular coefficient ⋮ Multiple solutions with constant sign of a Dirichlet problem for a class of elliptic systems with variable exponent growth ⋮ Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems ⋮ Superlinear elliptic equations with variable exponent via perturbation method ⋮ On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions ⋮ Positive solutions for nonlinear singular superlinear elliptic equations ⋮ Unnamed Item

Cites Work

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• Multiplicity theorems for scalar periodic problems at resonance with \(p\)-Laplacian-like operator
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• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Nonlinear hemivariational inequalities at resonance
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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