Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents

@inproceedings{Guo2012EntireNS,
title={Entire nonradial solutions for non-cooperative coupled elliptic system with critical exponents},
author={Yuxia Guo and Juncheng Wei},
year={2012}
}

We consider the following coupled elliptic system : −∆u = μ1u N+2 N−2 + βu 2 N−2 v N N−2 in R −∆v = μ2v N+2 N−2 + βv 2 N−2u N N−2 in R u, v > 0, u, v ∈ D(R ), (S) where N = 3, 4, μ1, μ2 are two positive constants and β < 0 is the coupling constant. We prove the existence of infinitely many positive nonradial solutions.