In the present work we deal with two classes of Choquard Elliptic Equations with unbounded and sign-changing potentials, considering Fractional and Kirchhoff operators and nonlinearities with exponential critical growth. ...

In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...

In this work, we present results of existence, non-existence and multiplicity of positive solutions to elliptic problems involving the fractional p-Laplacian operator and the fractional Laplacian in the critical case, ...

We study a non-homogeneous semilinear eliptic problem with Dirichlet condition baundary in a bounded domain and we show existence of solution. Also extend the result to the fraccionary laplacian case and to the homogeneous ...

In this work, we study existence and multiplicity of weak solutions for three problems involving fractional operators, with emphasis on critical growth nonlinearities. The first problem deals with the existence of sign-changing ...

In this work, we investigate the existence, non-existence and multiplicity of positive solutions of the problem below, \begin{equation*} \left\lbrace \begin{array}{rll} (-\Delta)^s u -\lambda u & = f(x)g(u) ,& ...