We establish the global C 1, α-regularity for functions in solution classes, whenever ellipticity
constants are sufficiently close. As an application, we derive the global regularity result …

This paper studies a priori and regularity estimates of Evans-Krylov type in Hölder spaces for
fully nonlinear uniformly elliptic and parabolic equations of second order when the operator …

Abstract We examine Hamilton–Jacobi equations driven by fully nonlinear degenerate
elliptic operators in the presence of superlinear Hamiltonians. By exploring the Ishii–Jensen …

We prove an abstract result ensuring that one-sided geometric control yields two-sided
estimates for functions satisfying general conditions. Our findings resonate in the context of …

A Teoria de regularidade para soluçoes no sentido da viscosidade de equaçoes elıpticas
totalmente nao-lineares é um tópico de muito interesse para vários pesquisadores. Um dos …

The purpose of this thesis is to obtain new regularity results for degenerate fully nonlinear
equations. In order to keep the text as self-contained as possible, we begin by studying …

Ortenilton dos Santos Filho Estimativas Aleksandrov-Bakelman-Pucci Page 1 Ortenilton dos
Santos Filho Estimativas Aleksandrov-Bakelman-Pucci Dissertação de Mestrado Dissertação …