5 papers · 1 filter
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…
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…
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 regular…
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…
Global weighted Lorentz estimates of oblique tangential derivative problems for weakly convex fully nonlinear operators
Junior da S. Bessa, Gleydson C. Ricarte
In this work, we develop weighted Lorentz-Sobolev estimates for viscosity solutions of fully nonlinear elliptic equations with oblique boundary condition under weakened convexity c…