TY  - GEN
N1  - Bibliogr.: p. 23-27. ; összefoglalás angol nyelven
UR  - http://acta.bibl.u-szeged.hu/82281/
SN  - 1417-3875
CY  - Szeged
AV  - public
ID  - acta82281
TI  - Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities
EP  - 27
Y1  - 2023///
KW  - Hamilton rendszer
N2  - In this paper, we obtain the multiplicity of homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign potentials. The concentration-compactness principle is applied to show the compactness. As a byproduct, we obtain the uniqueness of the positive ground state solution for a class of autonomous Hamiltonian systems and the best constant for Sobolev inequality which are of independent interests.
A1  -  Wu Dong-Lun
ER  -