20 citations · 31 across the 20 of their papers we have counts for
7 papers · 2 filters
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…
A note on the density of the partial regularity result in the class of viscosity solutions
Disson dos Prazeres, Edgard A. Pimentel, Giane C. Rampasso
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 ent…
Non-convex Hamilton-Jacobi equations with gradient constraints
Héctor A. Chang-Lara, Edgard A. Pimentel
We study non-convex Hamilton-Jacobi equations in the presence of gradient constraints and produce new, optimal, regularity results for the solutions. A distinctive feature of those…
A fully nonlinear degenerate free transmission problem
Gerardo Huaroto, Edgard A. Pimentel, Giane C. Rampasso +1
We study a free transmission problem driven by degenerate fully nonlinear operators. Our first result concerns the existence of solutions to the associated Dirichlet problem. By fr…
Existence and improved regularity for a nonlinear system with collapsing ellipticity
Edgard A. Pimentel, José Miguel Urbano
We study a nonlinear system made up of an elliptic equation of blended singular/degenerate type and Poisson's equation with a lowly integrable source. We prove the existence of a w…
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…