3 papers
math.AP2025
On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem
Fausto Ferrari, Davide Giovagnoli, David Jesus
In this paper, we characterize the geometry of solutions to one-phase inhomogeneous fully nonlinear Stefan problem with flat free boundaries under a new nondegeneracy assumption. T…
math.AP2024
Boundary regularity for a fully nonlinear free transmission problem
David Jesus, Edgard A. Pimentel, David Stolnicki
We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting pr…
math.AP2024
Boundary Estimates for Doubly Nonlinear Parabolic Equations
Ugo Gianazza, David Jesus
We consider non-negative, weak solutions to the doubly nonlinear parabolic equation $$ \partial_t u^q-\mbox{div}(|Du|^{p-2}Du)=0 $$ in the super-critical fast diffusion regime $0<p…