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Existence of solution for a class of problem in whole without the Ambrosetti-Rabinowitz condition
Claudianor O. Alves, Marco A. S. Souto
In this paper we study the existence of solution for a class of elliptic problem in whole without the well known Ambrosetti-Rabinowitz condition. Here, we do not ass…
An Ambrosetti-Prodi type result for integral equations involving dispersal operator
Natan de Assis Lima, Marco Aurélio Soares Souto
In this paper we study the existence of solution for the following class of nonlocal problems \[ L_0u =f(x,u)+g(x) , \ \mbox{in} \ Ω, \] where , ,…
A Berestycki-Lions type result and applications
Claudianor O. Alves, Ronaldo C. Duarte, Marco A. S. Souto
In this paper we show an abstract theorem involving the existence of critical points for a functional , which permit us to prove the existence of solutions for a large class of…
Choquard Equations with Mixed Potential
Marco A. S. Souto, Romildo N. de Lima
In this paper, we study the following class of nonlinear Choquard equation, where , , $K(u)=|.|^{-γ}*F…