3 papers
math.AP2022
Existence of nonnegative solutions for fractional Schrödinger equations with Neumann condition
Hamilton Bueno, Aldo H. S. Medeiros
In this paper we study a Neumann problem for the fractional Laplacian, namely \begin{equation}\left\{ \begin{array}{rcll} \varepsilon^{2s}(- Δ)^{s}u + u &=& f(u) \ \ &\mbox{in} \ \…
math.AP2019
Existence, regularity, asymptotic decay and radiality of solutions to some extension problems
Hamilton Bueno, Aldo H. S. Medeiros, G. A. Pereira
Supposing only that and , for some ,…
math.AP2018
Local behaviour and existence of solutions of the fractional (p,q)-Laplacian
Emerson Abreu, A. H. Souza Medeiros
In this paper, we consider the regularity of weak solutions (in an appropriate space) to the elliptic partial differential equation \begin{equation*} (-Δ_{p})^{s} u + (-Δ_{q})^{s}…