@article{Qian2022, 
author = {Xiaoyong Qian and Jun Wang and Maochun Zhu},
title = {Existence of solutions for a coupled Schrödinger equations with critical exponent},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {7},
pages = {2730-2747},
keywords = {variational method, Sobolev critical exponent, Nehari Manifold, coupled Schrödinger equations},
url = {https://www.sciopen.com/article/10.3934/era.2022140},
doi = {10.3934/era.2022140},
abstract = {In this paper we study the existence of multiple nontrivial solutions of the coupled Schrödinger system with external sources terms as perturbations. This type of the system arises from Bose-Einstein condensate. As these external sources terms are nonlinear functions and small in some sense, we use fibre map to divide the Nehari manifold into threes parts, and then prove the existence of a nontrivial ground state solution and a bound state solution.}
}