Existence and multiplicity results for a class of non-linear Schrödinger equations with magnetic potential involving sign-changing non linearity

2019/04/12 by de Paiva, Francisco Odair Vieira, Lima, Sandra Machado de Souza, Miyagaki, Olimpio Hiroshi
#35B33 #35B38 #35Q55 #35Q60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.06382

Abstract

In this work we consider the following class of elliptic problems - Δ_A u + u = a(x) |u|^q-2u+b(x) |u|^p-2u , in ℝ^N, u∈ H¹_A (ℝ^N), with 2

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