3 citations · 5 across the 8 of their papers we have counts for
17 papers
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…
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…
Existence of solutions to a fully nonlinear free transmission problem
Edgard A. Pimentel, Andrzej Święch
We study an equation governed by a discontinuous fully nonlinear operator. Such discontinuities are solution-dependent, which introduces a free boundary. Working under natural assu…
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…
Stationary fully nonlinear mean-field games
Pêdra D. S. Andrade, Edgard A. Pimentel
In this paper we examine fully nonlinear mean-field games associated with a minimization problem. The variational setting is driven by a functional depending on its argument throug…