We are interested in the existence of infinitely many positive solutions of the SchrdingerPoisson 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), r=|x|, has the following decay property: V(r)=arm+O(1rm+θ) with a>0, m>32, θ>0. The solutions obtained are non-radial. © 2011 Elsevier Ltd. All rights reserved.

Infinitely many positive solutions for a SchrdingerPoisson system

VAIRA, Giusi
2011

Abstract

We are interested in the existence of infinitely many positive solutions of the SchrdingerPoisson 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, 10, m>32, θ>0. The solutions obtained are non-radial. © 2011 Elsevier Ltd. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11591/368453
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