collaborators

5 papers

math.AP2026

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…

math.AP2025

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…

math.AP2025

Regularity estimates for fully nonlinear dead-core problems with a Hamiltonian Term

Rafael R. Costa, Ginaldo S. Sá

In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the orig…

math.AP2025

Geometric regularity estimates for quasi-linear elliptic models in non-divergence form with strong absorption

Claudemir Alcantara, João Vitor da Silva, Ginaldo Sá

In this manuscript, we investigate geometric regularity estimates for problems governed by quasi-linear elliptic models in non-divergence form, which may exhibit either degenerate…

math.AP2025

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…