@Article{JPDE-24-2,
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 = {<p>We study the existence of solutions for the Schrödinger-Poisson system $-Δu+u+k(x)φu=α(x)|u|^{p-1}u$, in $R^3$,&nbsp; $-Δφ=k(x)u^2$, in $R^3$, where 3 ≤ p &lt; 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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v24.n2.7},
url = {https://global-sci.com/article/88373/existence-of-solutions-for-schrodinger-poisson-systems-with-sign-changing-weight}
}