Some abstract critical point theorems for self-adjoint operator equations and applications

DOI10.1007/s11401-010-0628-xzbMath1217.34070OpenAlexW2029879302MaRDI QIDQ2430335

Qi Wang, Chun-gen Liu

Publication date: 6 April 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0628-x

zbMATH Keywords

Morse theoryHamiltonian systemsindex theorydual variational methodrelative Morse indexself-adjoint operator equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Explosion of jump-type symmetric Dirichlet forms on \(\mathbb{R}^{d}\), A twist condition and multiple solutions of unbounded self-adjoint operator equation with symmetries, Multiple solutions for super-linear symmetric operator equations

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