17 citations · 27 across the 7 of their papers we have counts for
8 papers
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…
On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian
E. B. dos Santos, Raimundo Leitão
In this paper we study integro-differential equations like the anisotropic fractional Laplacian. As in [Silvestre, Indiana University Mathematics Journal 55, 2006], we adapt the De…
Geometric regularity for elliptic equations in double-divergence form
Raimundo Leitão, Edgard A. Pimentel, Makson S. Santos
In this paper, we examine the regularity of the solutions to the double-divergence equation. We establish improved Hölder continuity as solutions approach their zero level-sets. In…
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…
Infinity Laplacian equation with strong absorptions
Damião J. Araújo, Raimundo Leitão, Eduardo V. Teixeira
We study regularity properties of solutions to reaction-diffusion equations ruled by the infinity laplacian operator. We focus our analysis in models presenting plateaus, i.e. regi…
Regularity for anisotropic fully nonlinear integro-differential equations
Luis A. Caffarelli, Raimundo Leitão, José Miguel Urbano
We consider fully nonlinear integro-differential equations governed by kernels that have different homogeneities in different directions. We prove a nonlocal version of the ABP est…
Regularity for degenerate two-phase free boundary problems
Raimundo Leitão, Olivaine S. de Queiroz, Eduardo V. Teixeira
We provide a rather complete description of the sharp regularity theory for a family of heterogeneous, two-phase variational free boundary problems, min, ruled…
Regularity and geometric estimates for minima of discontinuous functionals
Raimundo Leitão, Eduardo V. Teixeira
In this paper we study nonnegative minimizers of general degenerate elliptic functionals, , for variational kernels that are discontinuous in wi…