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|→∞.
Titolo: | An Existence Result for a Class of Magnetic Problems in Exterior Domains | |
Autori: | ||
Data di pubblicazione: | 2021 | |
Rivista: | ||
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|→∞. | |
Handle: | http://hdl.handle.net/11566/294878 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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