Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system

DOI10.1016/J.JMAA.2009.05.003zbMath1187.37024OpenAlexW1983197617MaRDI QIDQ2272020

Yuxia Guo, Jia Quan Liu

Publication date: 5 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.003

zbMATH Keywords

Morse theorybifurcationtopological degreecritical groupstrongly indefinite functionalMaslov index

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Degree theory for nonlinear operators (47H11) Variational methods for elliptic systems (35J50) Index theory for dynamical systems, Morse-Conley indices (37B30) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (3)

Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Existence and multiplicity of solutions for asymptotically linear noncooperative elliptic systems ⋮ Bifurcations from degenerate orbits of solutions of nonlinear elliptic systems

Cites Work

• Unnamed Item
• On bifurcation from infinity for potential operators
• A variational approach to subquadratic perturbations of elliptic systems
• Nontrivial periodic solutions for strong resonance Hamiltonian systems
• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Infinite dimensional Morse theory and multiple solution problems
• On bifurcation from infinity
• Notes on the bifurcation theorem
• Bifurcation for potential operators
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• A bifurcation theorem for critical points of variational problems
• 8.—Bifurcation and Asymptotic Bifurcation for Non-compact Nonsymmetric Gradient Operators
• A NOTE ON BIFURCATION FROM INFINITY
• A variational approach to noncooperative elliptic systems
• A bifurcation theorem for potential operators
• Computations of critical groups at a degenerate critical point for strongly indefinite functionals
• Morse theory for strongly indefinite functional

This page was built for publication: Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system