Author

Junior da Silva Bessa

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Open access Sep 2026

Schauder estimates for a class of fully nonlinear elliptic PDEs: a geometric tangential approach

In this paper, we establish local and global Schauder estimates for classical solutions of a class of fully nonlinear elliptic partial differential equations, which are not necessarily convex or concave, under suitable Hölder continuity assumptions on the data. Our approach is based on a robust blow-up argument, combin...

J. V. da Silva, Junior da Silva Bessa, Laura Ospina · Annales Fennici Mathematici · 0 citations

Sep 2026

Global Lorentz-type regularity for non-convex fully nonlinear elliptic equations with oblique boundary conditions and applications

We establish new global regularity estimates for the Hessian of viscosity solutions to non-convex fully nonlinear elliptic equations with oblique boundary conditions in the setting of weighted Lorentz and Morrey-Lorentz spaces. More precisely, our approach relies on an analysis of the ellipticity coefficients of the go...

Junior da Silva Bessa · Analysis and Applications · 0 citations