Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 256, Issue 10, Pages 3463-3495Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2014.02.007
Keywords
Non-cooperative coupled systems; Critical exponents; Infinitely many non-radial solutions
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Funding
- NSFC [11171171, 11331010]
- RGC of Hong Kong
- NSERC of Canada
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We consider the following coupled elliptic system: {-Delta u = mu(1)u(N+2/N-2) + beta(u)2/N-2 (v) N/N-2 in R-N, -Delta u = mu(2)u(N+2/N-2) + beta(u)2/N-2 (u) N/N-2 in R-N, u, v > 0, u, v is an element of D-1,D-2(R-N), where N >= 3, mu(1), mu(2) are two positive constants and beta < 0 is the coupling constant. When N = 3 we prove the existence of infinitely many positive nonradial solutions. (C) 2014 Elsevier Inc. All rights reserved.
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