10 citations · 23 across the 18 of their papers we have counts for
21 papers
Sharp regularity for degenerate fully nonlinear equations with oblique boundary conditions and Hamiltonian terms
Junior da Silva Bessa, Gleydson C. Ricarte
We prove optimal boundary regularity for viscosity solutions of degenerate fully nonlinear uniformly elliptic equations with oblique boundary conditions and Hamiltonian t…
Weighted Orlicz-Sobolev and variable exponent Morrey regularity for fully nonlinear parabolic PDEs with oblique boundary conditions and applications
Junior da S. Bessa, João Vitor da Silva, Maria N. B. Frederico +1
In this manuscript, we establish global weighted Orlicz-Sobolev and variable exponent Morrey-Sobolev estimates for viscosity solutions to fully nonlinear parabolic equations subjec…
Sharp and improved regularity estimates for weighted quasilinear elliptic equations of Laplacian type and applications
João Vitor da Silva, Disson dos Prazeres, Gleydson Ricarte +1
In this manuscript, we obtain sharp and improved regularity estimates for weak solutions of weighted quasilinear elliptic models of Hardy-Hénon-type, featuring an explicit regulari…
High-Order regularity for fully nonlinear elliptic transmission problems under weak convexity assumption
G. C. Ricarte, C. S. Barroso, L. S. Tavares
This paper studies Schauder theory to transmission problems modelled by fully nonlinear uniformly elliptic equations of second order. We focus on operators F that fails to be conca…
Universal regularity estimates for solutions to fully nonlinear elliptic equations with oblique boundary data
Junior da S. Bessa, João Vitor da Silva, Gleydson C. Ricarte
In this work, we establish universal moduli of continuity for viscosity solutions to fully nonlinear elliptic equations with oblique boundary conditions, whose general model is giv…
Global weighted Lorentz estimates of oblique tangential derivative problems for weakly convex fully nonlinear operators
Junior da S. Bessa, Gleydson C. Ricarte
In this work, we develop weighted Lorentz-Sobolev estimates for viscosity solutions of fully nonlinear elliptic equations with oblique boundary condition under weakened convexity c…
Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications
Junior da S. Bessa, João Vitor da Silva, Maria N. B. Frederico +1
In this work we derive global estimates for viscosity solutions to fully nonlinear elliptic equations under relaxed structural assumptions on the governing operator which are weake…
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…
Sharp and improved regularity for a class of doubly degenerate parabolic Pdes
J. V. Silva, Elzon C. Júnior, Gleydson C. Ricarte
In this manuscript we establish local Hölder regularity estimates for bounded solutions of a certain class of doubly degenerate evolution PDEs. By making use of intrinsic scaling t…
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…
Fully Nonlinear Singularly perturbed models with non-homogeneous degeneracy
João V. Silva, Elzon C. Júnior, Gleydson C. Ricarte
In our work we study non-variational, nonlinear singularly perturbed elliptic models enjoying a double degeneracy character with prescribed boundary value in a domain. In such a sc…
Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries
J. V. da Silva, R. A. Leitão, G. C. Ricarte
In this manuscript we study geometric regularity estimates for problems driven by fully nonlinear elliptic operators under strong absorption conditions. We establish improved geome…
Geometric Gradient Estimates For Fully Nonlinear Models With Non-Homogeneous Degeneracy and Applications
G. C. Ricarte, J. V. Da Silva
We establish sharp geometric Holder regularity estimates for Gradient for bounded solutions of a class of fully nonlinear elliptic equations with non-homogeneous degeneracy. Such r…
Optimal C^{1,\apha} regularity for degenerate fully nonlinear elliptic equations with Neumann boundary condition
G. C. Ricarte
In the present paper, we study sharp C^{1;α} regularity results with boundary Neumann condition for viscosity solutions for a class of degenerate fully non-linear elliptic equation…
Free boundary regularity for a degenerate fully non-linear elliptic problem with right hand side
R. Leitão, G. C Ricarte
We consider an one-phase free boundary problem for a degenerate fully non-linear elliptic operators with non-zero right hand side. We use the approach present in \cite{DeSilva} to…
Porosity of the free boundary for p-parabolic type equations in non-divergence form
G. C. Ricarte
In this article we establish the exact growth of the solution to the singular quasilinear p-parabolic free boundary problem in non-divergence form near the free boundary from which…
Sharp regularity estimates for quasilinear evolution equations
Marcelo D. Amaral, João Vítor da Silva, Gleydson C. Ricarte +1
We establish sharp geometric regularity estimates for bounded weak solutions of evolution equations of -Laplacian type. Our approach is based on geometric tangential m…
Cavity type problems ruled by infinity Laplacian operator
Gleydson Chaves Ricarte, João Vítor da Silva, Rafayel Teymurazyan
We study a singularly perturbed problem related to infinity Laplacian operator with prescribed boundary values in a region. We prove that solutions are locally (uniformly) Lipschit…
Singularly perturbed fully nonlinear parabolic problems and their asymptotic free boundaries
Gleydson C. Ricarte, Rafayel Teymurazyan, José Miguel Urbano
We study fully nonlinear singularly perturbed parabolic equations and their limits. We show that solutions are uniformly Lipschitz continuous in space and Hölder continuous in time…
Regularity up to the boundary for singularly perturbed fully nonlinear elliptic equations
Gleydson C. Ricarte, João Vitor da Silva
In this article we are interested in studying regularity up to the boundary for one-phase singularly perturbed fully nonlinear elliptic problems, associated to high energy activati…
Optimal gradient continuity for degenerate elliptic equations
Damião J. Araújo, Gleydson C. Ricarte, Eduardo V. Teixeira
We establish new, optimal gradient continuity estimates for solutions to a class of 2nd order partial differential equations, , whose diffusion…