Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem

DOI10.1007/s00526-017-1111-2zbMath1373.35136OpenAlexW2586236365MaRDI QIDQ526915

Chong Li, Yan Yan Liu

Publication date: 15 May 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-017-1111-2

zbMATH Keywords

quasilinear elliptic equationcritical groupsvariational methodsNehari manifold

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (2)

Five nontrivial solutions of superlinear elliptic problem ⋮ Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold

Cites Work

• Gaps of consecutive eigenvalues of Laplace operator and the existence of multiple solutions for superlinear elliptic problem
• On a superlinear elliptic equation
• Multiple solutions of superlinear elliptic equations
• Critical point theorems for indefinite functionals
• Infinite dimensional Morse theory and multiple solution problems
• Multiplicity of critical points in presence of a linking: application to a superlinear boundary value problem
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
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