20 citations · 31 across the 20 of their papers we have counts for
5 papers · 2 filters
Flipping regularity via the Harnack approach and applications to nonlinear elliptic problems
Diego R. Moreira, Edgard A. Pimentel
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 o…
Fully nonlinear Hamilton-Jacobi equations of degenerate type
David Jesus, Edgard A. Pimentel, José Miguel Urbano
We examine Hamilton-Jacobi equations driven by fully nonlinear degenerate elliptic operators in the presence of superlinear Hamiltonians. By exploring the Ishii-Jensen inequality,…
Potential estimates for fully nonlinear elliptic equations with bounded ingredients
Edgard A. Pimentel, Miguel Walker
We examine -viscosity solutions to fully nonlinear elliptic equations with bounded-measurable ingredients. By considering , we focus on gradient-regularity estimates…
-regularity for degenerate diffusion equations
Pêdra Andrade, Daniel Pellegrino, Edgard A. Pimentel +1
We prove that any solution of a degenerate elliptic PDE is of class , provided the inverse of the equation's degeneracy law satisfies an integrability criterium, viz. $σ^{-1}…
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…