Title | Infinitely many positive solutions for a Schrödinger–Poisson system |
Publication Type | Journal Article |
Year of Publication | 2011 |
Authors | d’Avenia, P, Pomponio, A, Vaira, G |
Journal | Nonlinear Analysis: Theory, Methods & Applications |
Volume | 74 |
Pagination | 5705 - 5721 |
ISSN | 0362-546X |
Keywords | Non-autonomous Schrödinger–Poisson system; Perturbation method |
Abstract | We are interested in the existence of infinitely many positive solutions of the Schrödinger–Poisson system −Δu+u+V(|x|)ϕu=|u|p−1u,x∈R3,−Δϕ=V(|x|)u2,x∈R3, where V(|x|) is a positive bounded function, 1<p<5 and V(r |
URL | http://www.sciencedirect.com/science/article/pii/S0362546X11003518 |
DOI | 10.1016/j.na.2011.05.057 |
Research Group: