Sandra Machado de Souza Lima

collaborators

2 papers

math.AP2019

Existence, multiplicity and regularity for a Schrödinger equation with magnetic potential involving sign-changing weight function

Francisco Odair Vieira de Paiva, Sandra Machado de Souza Lima, Olimpio Hiroshi Miyagaki

In this paper we consider the following class of elliptic problems $- Δ_{A} u + u = a_{λ} (x) ∣ u ∣^{q - 2} u + b_{μ} (x) ∣ u ∣^{p - 2} u, x \in R^{N}$ where $1<q<2<p<2^*-1= \frac{N+2}{N-…

math.AP2019

Existence at least four solutions for a Schrödinger equation with magnetic potential involving sign-changing weight function

Francisco Odair Vieira de Paiva, Sandra Machado de Souza Lima, Olimpio Hiroshi Miyagaki

In this paper we consider the following class of elliptic problems $- Δ_{A} u + u = a_{λ} (x) ∣ u ∣^{q - 2} u + b_{μ} (x) ∣ u ∣^{p - 2} u,$ for $x \in R^{N}$ , $1<q<2<p<2^*-1= \frac{N+2}{N-2}…