The existence of nontrivial critical point for class of strongly indefinite asymptotically quadratic functional without compactness

DOI10.12775/TMNA.2014.019zbMath1362.58005OpenAlexW2341346128MaRDI QIDQ519408

Guanggang Liu, Shaoyun Shi, Yucheng Wei

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2014.019

zbMATH Keywords

filtrationMorse indexHamiltonian systemcritical groupstrongly indefinite functionalelliptic system

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) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Boundary value problems for second-order elliptic systems (35J57)

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