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arXiv · 2609.28103

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

Junior da Silva Bessa·João Vitor da Silva·Laura Ospina
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Abstract

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, combined with geometric tangential analysis and compactness techniques. This strategy is strongly influenced by methodologies developed in the contemporary theory of nonlinear elliptic PDEs.

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Junior da Silva Bessa, João Vitor da Silva, Laura Ospina. 2026-09-23. Schauder estimates for a class of fully nonlinear elliptic PDEs: a geometric tangential approach. https://arxiv.org/abs/2609.28103

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