Infinitely many solutions for double harmonic perturbed problem

DOI10.1007/BF02455254zbMath0839.35044OpenAlexW2321665042MaRDI QIDQ1904860

Qiu-Yi Dai

Publication date: 7 February 1996

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02455254

zbMATH Keywords

Morse indexsemilinear elliptic equation of fourth order

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Cites Work

• On the Schrödinger equation and the eigenvalue problem
• Forced vibrations of superquadratic Hamiltonian systems
• Morse theory on Hilbert manifolds
• Morse indices at critical points related to the symmetric mountain pass theorem and applications
• A Perturbation Method in Critical Point Theory and Applications
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