@article{Chu2022, 
author = {Changmu Chu and Jiaquan Liu and Zhi-Qiang Wang},
title = {Sign-changing solutions for Schrödinger system with critical growth},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {1},
pages = {242-256},
keywords = {sign-changing solutions, critical growth, Schrödinger system},
url = {https://www.sciopen.com/article/10.3934/era.2022013},
doi = {10.3934/era.2022013},
abstract = {We consider the following Schrödinger system   {−Δuj=∑i=1kβij|ui|3|uj|uj+λj|uj|q−2uj,inΩ,uj=0on∂Ω,j=1,⋯,kwhere  Ω⊂R3 is a bounded domain with smooth boundary. Assume  5<q<6,λj>0,βjj>0,j=1,⋯,k,  βij=βji,i≠j,i,j=1,⋯,k. Note that the nonlinear coupling terms are of critical Sobolev growth in dimension  3. We prove that under an additional condition on the coupling matrix the problem has infinitely many sign-changing solutions. The result is obtained by combining the method of invariant sets of descending flow with the approach of using approximation of systems of subcritical growth.}
}