The existence of nontrivial critical point for a class of strongly indefinite asymptotically quadratic functional without compactness
Słowa kluczowe
Strongly indefinite functional, filtration, Morse index, critical group, Hamiltonian system, elliptic systemAbstrakt
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.Pobrania
Opublikowane
2016-04-12
Jak cytować
1.
LIU, Guanggang, SHI, Shaoyun & 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 kwiecień 2016, T. 43, nr 2, s. 323–344. [udostępniono 22.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0