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<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 G.
2011-01-01
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, 1<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.File in questo prodotto:
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