On a singular semilinear elliptic problem: multiple solutions via critical point theory

DOI10.12775/TMNA.2018.002zbMath1402.35128OpenAlexW2806989328WikidataQ129719255 ScholiaQ129719255MaRDI QIDQ1668822

George Smyrlis, Francesca Faraci

Publication date: 29 August 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1527213956

zbMATH Keywords

critical point theorymultiple solutionssemilinear elliptic problem

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Nonlinear elliptic equations with singular reaction
• A three solution theorem for singular nonlinear elliptic boundary value problems
• Three solutions for a class of higher dimensional singular problems
• The existence of three positive solutions of a singular \(p\)-Laplacian problem
• Existence and multiplicity of positive solutions for singular quasilinear problems
• The maximum principle
• Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
• Detection of arbitrarily many solutions for perturbed elliptic problems involving oscillatory terms
• \(W^{1,p}_0\) versus \(C^1\) local minimizers for a singular and critical functional
• A mountain pass theorem
• A strong maximum principle for some quasilinear elliptic equations
• A degree theoretic approach for multiple solutions of constant sign for nonlinear elliptic equations
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Boundary regularity for solutions of degenerate elliptic equations
• On a dirichlet problem with a singular nonlinearity
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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