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math.AP2017
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…
math.AP2017
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…