Homoclinic orbits of first order nonlinear Hamiltonian systems with asymptotically linear nonlinearities at infinity
Słowa kluczowe
Nonlinear Hamiltonian system, necessary and sufficient condition, ground state homoclinic orbit, asymptotically linear, generalized weak linking theoremAbstrakt
By using variational methods and critical point theory, in particular, a generalized weak linking theorem, we study a first order nonlinear Hamiltonian system with asymptotically linear nonlinearity at infinity. We obtain the existence of ground state homoclinic orbits for this nonlinear Hamiltonian system. In particular, we obtain a {\it necessary and sufficient condition} for the existence of ground state homoclinic orbits. To the best of our knowledge, there is no published result focusing on necessary and sufficient conditions of the existence of ground state homoclinic orbits for this system.Pobrania
Opublikowane
2016-06-01
Jak cytować
1.
CHEN, Guanwei. Homoclinic orbits of first order nonlinear Hamiltonian systems with asymptotically linear nonlinearities at infinity. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2016, T. 47, nr 2, s. 499–510. [udostępniono 3.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0