@Article{JPDE-24-180, author = {}, title = {Existence of Solutions for Schrodinger-Poisson Systems with Sign-changing Weight}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n2.7}, url = {http://global-sci.org/intro/article_detail/jpde/5206.html} }