8 papers
Fully Nonlinear Evolution equations: From Critical Integrability to Schauder Estimates
Junior da Silva Bessa, José Erivamberto L. Oliveira, Patrícia 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…
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…
Regularity to Thin Obstacle Problem in Orlicz spaces
Junior da Silva Bessa, Paulo Henryque da Costa Silva, Alan Pio Sousa
In this work, we establish regularity results for minimizers of the energy functional associated with the thin obstacle problem in Orlicz spaces. More precisely, we prove the Lipsc…
Comparison Principle, A.B.P.-type estimates for solutions of quasi-linear elliptic equations in non-divergence form and some implications
Junior da S. Bessa, Reshmi Biswas, João Vitor da Silva +2
In this work, we establish global gradient estimates to solutions of quasilinear elliptic models in non-divergence form with general degeneracy law and a Hamiltonian term, given by…
Regularity estimates for quasilinear elliptic PDEs in non-divergence form with Hamiltonian terms and applications
Junior da Silva Bessa, João Vitor da Silva
In this manuscript, we investigate regularity estimates for a class of quasilinear elliptic equations in the non-divergence form that may exhibit degenerate behavior at critical po…
Regularity estimates to quasi-linear parabolic equations in non-divergence form with non-homogeneous signature
Junior da Silva Bessa, João Vitor da Silva, Ginaldo de Santana Sá
In this manuscript, we establish the existence and sharp geometric regularity estimates for bounded solutions of a class of quasilinear parabolic equations in non-divergence form w…