%0 Generic
%A  Wu Dong-Lun
%C Szeged
%D 2023
%F acta:82281
%K Hamilton rendszer
%N 31
%T Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities
%U http://acta.bibl.u-szeged.hu/82281/
%X 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.
%Z Bibliogr.: p. 23-27. ; összefoglalás angol nyelven