18 citations · 36 across the 7 of their papers we have counts for
8 papers
Finite element approximation for the fractional eigenvalue problem
Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez
The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue pro…
The decomposition-coordination method for the -Laplacian
Leandro Del Pezzo, Sandra Martinez
In this paper we construct two algorithms to approximate the minimizer of a discrete functional which comes from using a discontinuous Galerkin method for a variational problem rel…
Interior penalty discontinuous Galerkin FEM for the -Laplacian
L. M. Del Pezzo, A. Lombardi, S. Martínez
In this paper we construct an "Interior Penalty" Discontinuous Galerkin method to approximate the minimizer of a variational problem related to the Laplacian. The function $…
A singular perturbation problem for a quasilinear operator satisfying the natural growth condition of Lieberman
Sandra Martinez, Noemi Wolanski
In this paper we study the following problem. For any $\ep>0$, take $u^{\ep}$ a solution of, $$ Łu^{\ep}:= {div}\Big(\di\frac {g(|\nabla \uep|)}{|\nabla \uep|}\nabla \uep\Big)=β_{\…
An optimization problem with volume constrain in Orlicz spaces
Sandra Martinez
We consider the optimization problem of minimizing in the class of functions , with a constrain on the volume of . The conditions on t…
Asymptotic velocity of one dimensional diffusions with periodic drift
P. Collet S. Martinez
We consider the asymptotic behaviour of the solution of one dimensional stochastic differential equations and Langevin equations in periodic backgrounds with zero average. We prove…