Existence of infinitely many solutions for some superlinear elliptic equations

DOI10.1016/0022-247X(90)90044-GzbMath0716.35028MaRDI QIDQ753006

Ryuji Kajikiya, Kazunaga Tanaka

Publication date: 1990

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

zbMATH Keywords

semilinear problemminimax methodsinfinitely many solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (max. 100)

Multiple solutions for prescribed boundary value problem ⋮ Multiple solutions of sublinear Lane-Emden elliptic equations ⋮ Multiple critical points of perturbed symmetric strongly indefinite functionals

Cites Work

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• On the Schrödinger equation and the eigenvalue problem
• Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
• Dual variational methods in critical point theory and applications
• Existence of infinitely many periodic solutions for a perturbed Hamiltonian system
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Multiple Critical Points of Perturbed Symmetric Functionals
• Morse indices at critical points related to the symmetric mountain pass theorem and applications
• A Perturbation Method in Critical Point Theory and Applications
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations

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