Existence of three nontrivial solutions for a class of superlinear elliptic equations

DOI10.1016/j.jmaa.2012.01.056zbMath1234.35100OpenAlexW2002052275MaRDI QIDQ408300

Zeng-Qi Ou, Chun Li

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.056

zbMATH Keywords

semilinear elliptic equationsuperlinearlinking theorem\(\nabla\)-condition

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Related Items (9)

Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance ⋮ Multiple solutions for superlinear fractional problems via theorems of mixed type ⋮ On fractional plasma problems ⋮ Unnamed Item ⋮ Existence of three nontrivial solutions for a class of fourth-order elliptic equations ⋮ Existence and multiplicity results for the fractional Laplacian in bounded domains ⋮ Existence of three nontrivial solutions for semilinear elliptic equations on \(\mathbb{R}^N\) ⋮ Unnamed Item ⋮ Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential

Cites Work

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• A variational approach to subquadratic perturbations of elliptic systems
• Perturbations near resonance for the \(p\)-Laplacian in \({\mathbb R}^{N}\)
• Multiplicity of critical points in presence of a linking: application to a superlinear boundary value problem
• Dual variational methods in critical point theory and applications
• On a class of nonlinear dirichlet problems with multiple solutions
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Remarks on finding critical points
• Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach
• Nonlinear eigenvalue problems with the parameter near resonance

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