4 papers · 1 filter
Fractional magnetic Schrödinger equations with potential vanishing at infinity and supercritical exponents
José Carlos de Albuquerque, José Luando Santos
This paper focuses on the following class of fractional magnetic Schrödinger equations \begin{equation*} (-Δ)_{A}^{s}u+V(x)u=g(\vert u\vert^{2})u+λ\vert u\vert^{q-2}u, \quad \mbox{…
Revised regularity results for quasilinear elliptic problems driven by the -Laplacian operator
E. D. Silva, M. L. Carvalho, J. C. de Albuquerque
It is establish regularity results for weak solutions of quasilinear elliptic problems driven by the well known -Laplacian operator given by \begin{equation*} \left\{\ \begin{ar…
Positive ground states for a class of superlinear -Laplacian coupled systems involving Schrödinger equations
João Marcos do Ó, Edcarlos Domingos da Silva, José Carlos de Albuquerque
We study the existence of positive solutions for the following class of -Laplacian coupled systems \[ \left\{ \begin{array}{lr} -Δ_{p} u+a(x)|u|^{p-2}u=f(u)+ αλ(x)|u|^{α-2}u…
Coupled elliptic systems involving the square root of the Laplacian and Trudinger-Moser critical growth
João Marcos do Ó, José Carlos de Albuquerque
In this paper we prove the existence of a nonnegative ground state solution to the following class of coupled systems involving Schrödinger equations with square root of the Laplac…