28 citations · 59 across the 11 of their papers we have counts for
11 papers
Existence and concentration of solution for a fractional Hamiltonian systems with positive semi-definite matrix
César Torres, Ziheng Zhang, Amado Mendez
We study the existence of solutions for the following fractional Hamiltonian systems $$ \left\{ \begin{array}{ll} - _tD^α_{\infty}(_{-\infty}D^α_{t}u(t))-λL(t)u(t)+\nabla W(t,u(t))…
A critical nonlinear elliptic equation with non local regional diffusion
César Torres
In this article we are interested in the nonlocal regional Schrödinger equation with critical exponent \begin{eqnarray*} &ε^{2α} (-Δ)_ρ^αu + u = λu^q + u^{2_α^{*}-1} \mbox{ in } \m…
Existence and multiplicity result for a fractional p-Laplacian equation with combined fractional derivatives
César Torres, Nemat Nyamoradi
The aim of this paper is to obtain the existence of solutions for the following fractional p-Laplacian Dirichlet problem with mixed derivatives \begin{eqnarray*} &{_{t}}D_{T}^α\lef…
Concentration of ground state solution for a fractional Hamiltonian Systems
César E. Torres Ledesma, Ziheng Zhang
In this paper we are concerned with the existence of ground states solutions for the following fractional Hamiltonian systems $$ \left\{ \begin{array}{ll} -_tD^α_\infty(_{-\infty}D…
Boundary value problem with fractional p-Laplacian operator
César Torres
The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives \begin{eqnarray*} &{_{t}}D_{T}^α\left(|_{0}D_{t…
Existence and symmetric result for Liouville-Weyl fractional nonlinear Schrödinger equation
César Torres
We study the existence of positive solution for the one dimensional Schrödinger equation with mixed Lioville-Weyl fractional derivatives \begin{eqnarray*}\label{Eq00} _{t}D_{\infty…