Existence results for nonlinear elliptic problems

DOI10.1080/00036811.2011.625013zbMath1270.35212OpenAlexW2039371845WikidataQ58261141 ScholiaQ58261141MaRDI QIDQ4908204

Gabriele Bonanno, Pasquale F. Pizzimenti

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.625013

zbMATH Keywords

Dirichlet problempositive solutionscritical points

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Non-trivial solutions for nonlocal elliptic problems of Kirchhoff-type ⋮ On nonlinear Schrödinger equations on the hyperbolic space ⋮ Multiplicity results for Kirchhoff-type three-point boundary value problems ⋮ Existence results for parametric boundary value problems involving the mean curvature operator

Cites Work

• A critical point theorem via the Ekeland variational principle
• Three weak solutions for elliptic Dirichlet problems
• The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
• Pairs of positive solutions for \(p\)-Laplacian equations with sublinear and superlinear nonlinearities which do not satisfy the AR-condition
• The strong maximum principle revisited.
• A general variational principle and some of its applications
• Dual variational methods in critical point theory and applications
• \(p(x)\)-Laplacian equations satisfying Cerami condition
• Infinitely many solutions for a Dirichlet problem involving the p-Laplacian

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