Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits

Verfasser / Beitragende:
[Guan-Wei Chen]
Ort, Verlag, Jahr:
2015
Enthalten in:
Annali di Matematica Pura ed Applicata (1923 -), 194/3(2015-06-01), 903-918
Format:
Artikel (online)
ID: 60549620X
LEADER caa a22 4500
001 60549620X
003 CHVBK
005 20210128100535.0
007 cr unu---uuuuu
008 210128e20150601xx s 000 0 eng
024 7 0 |a 10.1007/s10231-014-0403-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10231-014-0403-9 
100 1 |a Chen  |D Guan-Wei  |u School of Mathematics and Statistics, Anyang Normal University, 455000, Anyang, Henan Province, P. R. China  |4 aut 
245 1 0 |a Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits  |h [Elektronische Daten]  |c [Guan-Wei Chen] 
520 3 |a Under super or asymptotically quadratic assumptions at infinity, we obtain the existence of nontrivial ground state homoclinic orbits for a class of second-order Hamiltonian systems with general potentials by a variant generalized weak linking theorem. For the asymptotically quadratic case, a necessary and sufficient condition is obtained for the existence of nontrivial homoclinic orbits. For the superquadratic case, we use general superquadratic conditions to replace the Ambrosetti-Rabinowitz condition. 
540 |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Second-order Hamiltonian systems  |2 nationallicence 
690 7 |a Ground state homoclinic orbits  |2 nationallicence 
690 7 |a Superquadratic  |2 nationallicence 
690 7 |a Asymptotically quadratic  |2 nationallicence 
690 7 |a Strongly indefinite functionals  |2 nationallicence 
773 0 |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/3(2015-06-01), 903-918  |x 0373-3114  |q 194:3<903  |1 2015  |2 194  |o 10231 
856 4 0 |u https://doi.org/10.1007/s10231-014-0403-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10231-014-0403-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Chen  |D Guan-Wei  |u School of Mathematics and Statistics, Anyang Normal University, 455000, Anyang, Henan Province, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Annali di Matematica Pura ed Applicata (1923 -)  |d Springer Berlin Heidelberg  |g 194/3(2015-06-01), 903-918  |x 0373-3114  |q 194:3<903  |1 2015  |2 194  |o 10231