Ignacio Tomasetti

collaborators

3 papers

math.AP2022

Interaction of a free boundary with a diffusion on a plane: analogy with the obstacle problem

Luis A. Caffarelli, Jean-Michel Roquejoffre, Ignacio Tomasetti

A horizontal $N$ -dimensional plane, having a diffusion of its own, exchanges with the lower half space. There, a reaction-diffusion process, modelled by a free boundary problem, ta…

math.AP2022

Rigidity theorems for best Sobolev inequalities

Francesco Maggi, Robin Neumayer, Ignacio Tomasetti

For $n \geq 2$ , $p \in (1, n)$ , the "best $p$ -Sobolev inequality" on an open set $Ω \subset R^{n}$ is identified with a family $Φ_{Ω}$ of variational problems with critical volume a…

math.AP2020

Fully Nonlinear Equations with Applications to Grad Equations in Plasma Physics

Luis Caffarelli, Ignacio Tomasetti

In this paper we generalize an equation studied by Mossino and Temam, to the fully nonlinear case. This equation arises in plasma physics as an approximation to Grad equations, whi…