Existence of multiple solutions to a class of nonlinear Schr\"{o}dinger system with external sources terms
Analysis of PDEs
2014-06-19 v1
Abstract
We study a class of nonlinear schr\"{o}dinger system with external sources terms as perturbations in order to obtain existence of multiple solutions, this system arises from Bose-Einstein condensates etc..As these external sources terms are positive functions and small in some sense, we use Nehari manifold to get the existence of a positive ground state solution and a positive bound state solution.
Keywords
Cite
@article{arxiv.1406.4574,
title = {Existence of multiple solutions to a class of nonlinear Schr\"{o}dinger system with external sources terms},
author = {Zexin Qi and Zhitao Zhang},
journal= {arXiv preprint arXiv:1406.4574},
year = {2014}
}