In this paper we deal with the existence of solutions for the following class of magnetic semilinear Schrödinger equation (P){(-i∇+A(x))2u+u=|u|p-2u,inΩ,u=0on∂Ω,where N≥ 3 , Ω ⊂ RN is an exterior domain, p∈ (2 , 2 ∗) with 2∗=2NN-2, and A: RN→ RN is a continuous vector potential verifying A(x)→0as|x|→∞.
An Existence Result for a Class of Magnetic Problems in Exterior Domains
Ambrosio V.;
2021-01-01
Abstract
In this paper we deal with the existence of solutions for the following class of magnetic semilinear Schrödinger equation (P){(-i∇+A(x))2u+u=|u|p-2u,inΩ,u=0on∂Ω,where N≥ 3 , Ω ⊂ RN is an exterior domain, p∈ (2 , 2 ∗) with 2∗=2NN-2, and A: RN→ RN is a continuous vector potential verifying A(x)→0as|x|→∞.File in questo prodotto:
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