A. Salort

collaborators

3 papers

math.NA2026

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…

math.AP2025

Sharp regularity estimates for quasi-linear elliptic dead core problems and applications

JoÃ£o VÃtor da Silva, Ariel Salort

In this manuscript we study geometric regularity estimates for quasi-linear elliptic equations of $p$ -Laplace type ( $1 < p < \infty$ ) with strong absorption condition: $$ -\text{div…

math.AP2025

Regularity properties for $p -$ dead core problems and their asymptotic limit as $p \to \infty$

JoÃ£o VÃtor da Silva, Julio Rossi, Ariel Salort

We study regularity issues and the limiting behavior as $p \to \infty$ of nonnegative solutions for elliptic equations of $p -$ Laplacian type ( $2 \leq p < \infty$ ) with a strong absorp…

A PINNs approach for the computation of eigenvalues in elliptic problems

Sharp regularity estimates for quasi-linear elliptic dead core problems and applications

Regularity properties for p−dead core problems and their asymptotic limit as p→∞

Regularity properties for $p -$ dead core problems and their asymptotic limit as $p \to \infty$