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20182026
most citedGeometric regularity estimates for fully nonlinear elliptic equations with free boundaries

5 citations · 6 across the 8 of their papers we have counts for

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14 papers · 1 filter

math.AP2026

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 t…

math.AP2025

Weighted Orlicz-Sobolev and variable exponent Morrey regularity for fully nonlinear parabolic PDEs with oblique boundary conditions and applications

Junior da S. Bessa, João Vitor da Silva, Maria N. B. Frederico +1

In this manuscript, we establish global weighted Orlicz-Sobolev and variable exponent Morrey-Sobolev estimates for viscosity solutions to fully nonlinear parabolic equations subjec…

math.AP2024

Sharp and improved regularity estimates for weighted quasilinear elliptic equations of Laplacian type and applications

João Vitor da Silva, Disson dos Prazeres, Gleydson Ricarte +1

In this manuscript, we obtain sharp and improved regularity estimates for weak solutions of weighted quasilinear elliptic models of Hardy-Hénon-type, featuring an explicit regulari…

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.AP20211 cited

Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy

João Vitor da Silva, Elzon C. B. Júnior, Giane Rampasso +1

We establish the existence and sharp global regularity results (, and estimates) for a class of fully nonlinear elliptic PDEs with unbalanced variab…