3 citations · 4 across the 4 of their papers we have counts for
6 papers
Fractional Sobolev regularity for fully nonlinear elliptic equations
Edgard A. Pimentel, Makson S. Santos, Eduardo V. Teixeira
We prove higher-order fractional Sobolev regularity for fully nonlinear, uniformly elliptic equations in the presence of unbounded source terms. More precisely, we show the existen…
Improved regularity for the parabolic normalized p-Laplace equation
Pêdra D. S. Andrade, Makson S. Santos
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 op…
A fully nonlinear free transmission problem
Edgard A. Pimentel, Makson S. Santos
We examine a free transmission problem driven by fully nonlinear elliptic operators. Since the transmission interface is determined endogeneously, our analysis is two-fold: we stud…
Improved regularity for the -Poisson equation
Edgard A. Pimentel, Giane C. Rampasso, Makson S. Santos
In this paper we produce new, optimal, regularity results for the solutions to -Poisson equations. We argue through a delicate approximation method, under a smallness regime for…
Improved regularity for the porous medium equation along zero level-sets
Edgard A Pimentel, Makson S. Santos
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 ex…
Geometric regularity for elliptic equations in double-divergence form
Raimundo Leitão, Edgard A. Pimentel, Makson S. Santos
In this paper, we examine the regularity of the solutions to the double-divergence equation. We establish improved Hölder continuity as solutions approach their zero level-sets. In…