Existência, Regularidade e Decaimento de Soluções para uma Classe de Problemas Elípticos Envolvendo os Operadores Laplaciano Fracionário e p-Laplaciano Fracionário

Abstract

In this work the Nehari manifold method was used to obtain through the Mountain Pass Theorem, without the condition of Palais Smaile, ground state solutions for the following elliptic problems in (...):(...), for certain conditions of the f function. In addition, we studied the regularity of the solution found as well as the exponential and polynomial decay of the abovementioned problems respectively.