3 papers
math.AP2025
Regularity for the normalized p-Laplacian equation with an arbitrary degeneracy law
Claudemir Alcantara, Makson Santos
We examine the interior regularity of solutions to a degenerate normalized -Laplace equation, where the degeneracy is governed by a modulus of continuity whose inverse satisfies…
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.AP2024
Global fractional Sobolev regularity for fully nonlinear elliptic equations
Claudemir Alcantara, Makson Santos
We investigate fractional regularity estimates up to the boundary for solutions to fully nonlinear elliptic equations with measurable ingredients. Specifically, under the assumptio…