11 papers
Fully Nonlinear Evolution equations: From Critical Integrability to Schauder Estimates
Junior da Silva Bessa, José Erivamberto L. Oliveira, PatrÃcia Renata Pereira Regis
We investigate the sharp regularity up to the boundary for viscosity solutions of fully nonlinear parabolic equations with oblique derivative boundary conditions given by \begin{eq…
Geometric approaches for improved regularity in fully nonlinear parabolic models
Junior da Silva Bessa, João Vitor da Silva, Mayra Soares
In this paper, we derive improved estimates for a class of fully nonlinear parabolic equations with continuous drift and admissible source terms of the form $$ \partial_{t}u - F(D^…
Fully Nonlinear Elliptic Grad--Mercier Equations in Weighted Orlicz Spaces
Junior da Silva Bessa, Reshmi Biswas, Mayra Soares
In this article, we study the existence and global regularity results for the fully nonlinear elliptic Grad--Mercier type equations with oblique boundary conditions in the context…
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…
Gradient regularity for viscosity solutions to quasilinear parabolic equations with mixed singular-degenerate structure
Junior da Silva Bessa, João Vitor da Silva, Ginaldo de Santana Sá
We establish regularity results for viscosity solutions to a class of quasilinear parabolic equations exhibiting nonhomogeneous degeneracy or singularity (a double phase regime) of…
Optimal regularity up to the boundary for fully nonlinear elliptic equations with double phase degeneracy
Junior da Silva Bessa, Jehan Oh
In this paper we establish optimal regularity up to the boundary for viscosity solutions of fully nonlinear elliptic equations with double phase degeneracy law and obliq…