34 citations · 137 across the 41 of their papers we have counts for
48 papers
A priori estimates for solutions of -Laplace type problems
I. Ceresa-Dussel, J. Fernández Bonder, A. Silva
In this work we study a priori bounds for weak solution to elliptic problems with nonstandard growth that involves the so-called Laplace operator. The Laplacian is a genera…
A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations
Ignacio Ceresa Dussel, Julian Fernandez Bonder
In this paper we prove Bourgain-Brezis-Mironescu's type results (cf. \cite{BBM2001}) (BBM for short) for an energy functional which is strongly related to the fractional anisotropi…
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
Julian Fernandez Bonder, Ariel Salort, Hernan Vivas
In this article we consider a homogeneous eigenvalue problem ruled by the fractional Laplacian operator whose Euler-Lagrange equation is obtained by minimization of a quotient…
Asymptotic behavior for anisotropic fractional energies
Julian Fernandez Bonder, Ariel Salort
In this paper we investigate the asymptotic behavior of anisotropic fractional energies as the fractional parameter approaches both and i…
Effective numerical computation of Laplace equations in 2D
Adriana Aragon, Julian Fernandez Bonder, Diana Rubio
In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by the Laplacian operator. Our implementation is bas…
Global Hölder regularity for eigenfunctions of the fractional -Laplacian
Julián Fernández Bonder, Ariel Salort, Hernán Vivas
We establish global Hölder regularity for eigenfunctions of the fractional Laplacian with Dirichlet boundary conditions where and is a Young functions satisfying the…