3 papers
math.AP2024
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…
math.AP2024
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…
math.AP2016
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…