Multiplicity of solutions for a class of elliptic boundary value problems

DOI10.1016/j.na.2009.01.111zbMath1167.35368OpenAlexW1966644267MaRDI QIDQ923915

Wen Ming Zou, Xiao-Ming He

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.111

zbMATH Keywords

minimax methodelliptic boundary value problemsnew fountain theoremssuperlinear and asymptotically linear

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Multiplicity results for sublinear elliptic equations with sign-changing potential and general nonlinearity ⋮ An improved Fountain theorem and its application ⋮ Infinitely many nontrivial solutions for a class of biharmonic equations via variant Fountain theorems ⋮ Multiple solutions for a class of semilinear elliptic equations with general potentials ⋮ Existence of multiple solutions for fourth-order elliptic problem ⋮ Multiplicity solutions to non-local problems with general potentials and combined nonlinearities ⋮ Existence and multiplicity of solutions for a class of elliptic boundary value problems ⋮ Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems ⋮ Infinitely many solutions for a class of semilinear elliptic equations ⋮ MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS IN $\mathbb{R}$^<i>N</i> ⋮ Existence and multiplicity of nontrivial solutions for nonlinear Schrödinger equations with unbounded potentials

Cites Work

• Unnamed Item
• Existence of a nontrivial solution for a class of superquadratic elliptic problems
• Applications of local linking to critical point theory
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Remarks on finding critical points
• Variant fountain theorems and their applications

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