Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 255, Issue 1, Pages 1-23Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2013.03.005
Keywords
Schrodinger-Poisson equations; Sign-changing potential; Concentration
Categories
Funding
- NSFC [11001008, 11271264, 11061040]
- Chinese Ministry of Education [212162]
- NSFY of Yunnan Province, China [2011CI020, 2009CD043]
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In this paper we study a system of Schrodinger-Poisson equations {-Delta u + lambda V(x)u + K(x)phi u = vertical bar u vertical bar(p-2)u, in R-3, -Delta phi = K(x)u(2), in R-3, where lambda > 0 is a parameter, 2 < p < 6. Under suitable assumptions on V and K, the existence of nontrivial solution and concentration results are obtained via variational methods. In particular, the potential V is allowed to be sign-changing for the case p is an element of (4, 6). (C) 2013 Elsevier Inc. All rights reserved.
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