28 citations · 29 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Existence of solution for a class of fractional Hamiltonian systems
César Torres
In this work we want to prove the existence of solution for a class of fractional Hamiltonian systems given by {eqnarray*}_{t}D_{\infty}^α(_{-\infty}D_{t}^αu(t)) + L(t)u(t) = & \na…