relation: http://acta.bibl.u-szeged.hu/82281/
title: Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities
creator:  Wu Dong-Lun
description: 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.
date: 2023
type: Folyóirat
type: NonPeerReviewed
format: full
language: hu
identifier: http://acta.bibl.u-szeged.hu/82281/1/ejqtde_2023_031.pdf
identifier:    Wu Dong-Lun:   Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities.  (2023)   
language: eng