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20182021
most citedGeometric regularity estimates for fully nonlinear elliptic equations with free boundaries

5 citations · 6 across the 4 of their papers we have counts for

collaborators

9 papers

math.AP20211 cited

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…

math.AP2021

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…

math.AP2021

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…

math.AP20205 cited

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…

math.AP2020

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…

math.AP2019

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…