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arXiv · 2510.10359

Higher H\"older regularity for degenerate elliptic PDEs with data in Morrey spaces

Giuseppe Di Fazio·Rafayel Teymurazyan·José Miguel Urbano
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Abstract

We establish sharp local $C^{1,\alpha}$-regularity for weak solutions to degenerate elliptic equations of $p$-Laplacian type with data in Morrey spaces. The proof relies on the Fefferman-Phong inequality and standard tools from regularity theory for nonlinear PDEs.

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Giuseppe Di Fazio, Rafayel Teymurazyan, José Miguel Urbano. 2025-10-11. Higher H\"older regularity for degenerate elliptic PDEs with data in Morrey spaces. https://arxiv.org/abs/2510.10359

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