61 citations · 121 across the 31 of their papers we have counts for
5 papers · 2 filters
A sub-supersolution method for a class of nonlocal system involving the p(x)-Laplacian operator and applications
Gelson C. G. dos Santos, Giovany M. Figueiredo, Leandro S. Tavares
In the present paper we study the existence of solutions for a class of nonlocal system involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution resu…
Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schrödinger equations
José Carlos de Albuquerque, João Marcos do Ó, Giovany M. Figueiredo
In this paper we prove the existence of positive ground state solution for a class of linearly coupled systems involving Kirchhoff-Schrödinger equations. We study the subcritical a…
Existence and asymptotic behaviour of solutions for a quasi-linear schrodinger-poisson system under a critical nonlinearity
Giovany M. Figueiredo, Gaetano Siciliano
In this paper we consider the following quasilinear Schrödinger-Poisson system $$ \left\{ \begin{array}[c]{ll} - Δu +u+ϕu = λf(x,u)+|u|^{2^{*}-2}u &\ \mbox{in } \mathbb{R}^{3} \\ -…
Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
G. M. Figueiredo, M. T. O. Pimenta
In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, without any assumption of homogeneity, over a set which has its de…
A sub-super solution method for a class of nonlocal problems involving the p(x)-Laplacian operator and applications
Gelson C. G. dos Santos, Giovany M. Figueiredo, Leandro da S. Tavares
In the present paper we study the existence of solutions for some nonlocal problems involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution method