Journal
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Volume 10, Issue 3, Pages 391-404Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021919970800282X
Keywords
Schrodinger-Poisson equation; variational methods; Pohozaev equality; multiplicity
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In this paper, we study the problem { -Delta u + u + V(x)u = u(p), -Delta u = lambda u(2,) lim(vertical bar x vertical bar ->+infinity) V(x) =0, where u, V : R-3 -> R are radial functions, lambda > 0 and 1 < p < 5. We give multiplicity results, depending on p and on the parameter lambda.
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