22 citations · 97 across the 51 of their papers we have counts for
61 papers
Eigenvalue homogenization for the Laplacian with rapidly oscillating weights
Ariel Salort
In this article, we study the convergence rates of variational eigenvalues of the -Laplacian with rapidly oscillating weights and potentials belonging in a suitable space.…
A PINNs approach for the computation of eigenvalues in elliptic problems
Julian Fernandez Bonder, Ariel M. Salort
In this paper, we propose a method for computing eigenvalues of elliptic problems using Deep Learning techniques. A key feature of our approach is that it is independent of the spa…
Sharp regularity estimates for quasi-linear elliptic dead core problems and applications
João Vítor da Silva, Ariel Salort
In this manuscript we study geometric regularity estimates for quasi-linear elliptic equations of -Laplace type () with strong absorption condition: $$ -\text{div…
Regularity properties for dead core problems and their asymptotic limit as
João Vítor da Silva, Julio Rossi, Ariel Salort
We study regularity issues and the limiting behavior as of nonnegative solutions for elliptic equations of Laplacian type () with a strong absorp…
On the first eigenvalue of the generalized laplacian
Julian Fernandez Bonder, Ariel Salort
In this work we investigate the energy of minimizers of Rayleigh-type quotients of the form These minimizers are eigenfunc…
Asymptotic behavior of Musielak-Orlicz-Sobolev modulars
J. C. de Albuquerque, L. R. S. de Assis, M. L. M. Carvalho +1
In this article we study the asymptotic behavior of anisotropic nonlocal nonstandard growth seminorms and modulars as the fractional parameter goes to 1. This gives a so-called Bou…