3 citations · 6 across the 8 of their papers we have counts for
8 papers
Sharp regularity estimates for a singular inhomogeneous (m, p)-Laplacian equation
Pêdra D. S. Andrade, João Vitor da Silva, Giane C. Rampasso +1
In this paper, we investigate a class of doubly nonlinear evolutions PDEs. We establish sharp regularity for the solutions in Hölder spaces. The proof is based on the geometric tan…
Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy
João Vitor da Silva, Elzon C. B. Júnior, Giane Rampasso +1
We establish the existence and sharp global regularity results (, and estimates) for a class of fully nonlinear elliptic PDEs with unbalanced variab…
Free boundary regularity for a class of one-phase problems with non-homogeneous degeneracy
João Vítor da Silva, Giane C. Rampasso, Gleydson C. Ricarte +1
We consider a one-phase free boundary problem governed by doubly degenerate fully non-linear elliptic PDEs with non-zero right hand side, which should be understood as an analog (n…
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…
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…
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…
Geometric regularity theory for a time-dependent Isaacs equation
Pêdra D. S. Andrade, Giane C. Rampasso, Makson S. Santos
The purpose of this work is to produce a regularity theory for a class of parabolic Isaacs equations. Our techniques are based on approximation methods which allow us to connect ou…
Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations
Anne C. Bronzi, Edgard A. Pimentel, Giane C. Rampasso +1
In the present paper, we propose the investigation of variable-exponent, degenerate/singular elliptic equations in non-divergence form. This current endeavor parallels the by now w…