Year: 2011
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 2 : pp. 180–194
Abstract
We study the existence of solutions for the Schrödinger-Poisson system $-Δu+u+k(x)φu=α(x)|u|^{p-1}u$, in $R^3$, $-Δφ=k(x)u^2$, in $R^3$, where 3 ≤ p < 5, α(x) is a sign-changing function such that both the supports of α^+ and α^- may have infinite measure. We show that the problem has at least one nontrivial solution under some assumptions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v24.n2.7
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 2 : pp. 180–194
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Schrödinger-Poisson system
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