Two positive solutions forp-Laplacian equations with convex and concave non-linearities and a non-smooth potential

DOI10.1080/00036810802713859zbMath1186.35077OpenAlexW2074749473WikidataQ58267405 ScholiaQ58267405MaRDI QIDQ5190141

Nikolaos S. Papageorgiou, Michael E. Filippakis

Publication date: 12 March 2010

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

Full work available at URL: https://doi.org/10.1080/00036810802713859

zbMATH Keywords

positive solutions\(p\)-LaplacianEkeland variational principlenon-smooth critical point theorygeneralized subdifferentialconcave and convex nonlinear terms

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

Positive solutions for nonlinear periodic problems with concave terms

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
• 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.
• Multiplicity results for some nonlinear elliptic equations
• A strong maximum principle for some quasilinear elliptic equations
• Existence results for perturbations of the p-Laplacian
• Positive solutions and multiple solutions at non-resonance, resonance and near resonance for hemivariational inequalities with 𝑝-Laplacian

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