Improved regularity for the parabolic normalized p-Laplace equation

PDS Andrade, MS Santos - Calculus of Variations and Partial Differential …, 2022 - Springer
We derive regularity estimates for viscosity solutions to the parabolic normalized p-Laplace.
By using approximation methods and scaling arguments for the normalized p-parabolic …

Fully nonlinear free transmission problems

EA Pimentel, MS Santos - Interfaces and Free Boundaries, 2023 - ems.press
We examine a free transmission problem driven by fully nonlinear elliptic operators. Since
the transmission interface is determined endogenously, our analysis regards this object as a …

Geometric regularity theory for a time-dependent Isaacs equation

PDS Andrade, GC Rampasso, MS Santos - … Differential Equations and …, 2022 - Springer
The purpose of this work is to produce a regularity theory for a class of parabolic Isaacs
equations. Our techniques are based on approximation methods which allow us to connect …

Improved regularity for the porous medium equation along zero level sets

EA Pimentel, MS Santos - Israel Journal of Mathematics, 2021 - Springer
In the present work we establish sharp regularity estimates for the solutions of the porous
medium equation, along their zero level-sets. We work under a proximity regime on the …

A note on the density of the partial regularity result in the class of viscosity solutions

D Prazeres, EA Pimentel, GC Rampasso - arXiv preprint arXiv:2010.15022, 2020 - arxiv.org
We establish the density of the partial regularity result in the class of continuous viscosity
solutions. Given a fully nonlinear equation, we prove the existence of a sequence entitled to …

A note on the density of the partial regularity result in the class of viscosity solutions

D dos Prazeres, EA Pimentel… - Revista de la Unión …, 2022 - ojs.uns.edu.ar
We establish the density of the partial regularity result in the class of continuous viscosity
solutions. Given a fully nonlinear equation, we prove the existence of a sequence entitled to …

Regularity estimates for nonlocal equations with an asymptotic property

D dos Prazeres, A Sobral - Partial Differential Equations and Applications, 2021 - Springer
Regularity estimates for nonlocal equations with an asymptotic property | Partial Differential
Equations and Applications Skip to main content SpringerLink Account Menu Find a journal …

[PDF][PDF] Prof. Eduardo Vasconcelos Oliveira Teixeira

BS Sirakov - 2020 - maxwell.vrac.puc-rio.br
Fiorella María Rendón García Global boundary weak Harnack inequality for general uniformly
elliptic equations in divergence f Page 1 Fiorella María Rendón García Global boundary weak …

[PDF][PDF] Mostly regularity theory: interfaces and free boundaries

EA Pimentel - 2020 - maxwell.vrac.puc-rio.br
Eduardo (Co-Advisor). Mostly regularity theory: interfaces and free boundaries. Rio de
Janeiro, 2020. 71p. Tese de doutorado–Departamento de Matemática, Pontifíccia …