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

Authors

  • Guanggang Liu
  • Shaoyun Shi
  • Yucheng Wei

Keywords

Strongly indefinite functional, filtration, Morse index, critical group, Hamiltonian system, elliptic system

Abstract

In this paper, we show the existence of nontrivial critical point for a class of strongly indefinite asymptotically quadratic functional without compactness, by using the technique of penalized functionals and an infinite dimensional Morse theory developed by Kryszewski and Szulkin. Two applications are given to Hamiltonian systems and elliptic systems.

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Published

2016-04-12

How to Cite

1.
LIU, Guanggang, SHI, Shaoyun and WEI, Yucheng. The existence of nontrivial critical point for a class of strongly indefinite asymptotically quadratic functional without compactness. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 2, pp. 323 - 344. [Accessed 2 July 2025].

Issue

Vol 43, No 2 (June 2014)

Section

Articles

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