English

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

Analysis of PDEs 2025-10-14 v1

Abstract

We establish sharp local C1,αC^{1,\alpha}-regularity for weak solutions to degenerate elliptic equations of pp-Laplacian type with data in Morrey spaces. The proof relies on the Fefferman-Phong inequality and standard tools from regularity theory for nonlinear PDEs.

Keywords

Cite

@article{arxiv.2510.10359,
  title  = {Higher H\"older regularity for degenerate elliptic PDEs with data in Morrey spaces},
  author = {Giuseppe Di Fazio and Rafayel Teymurazyan and José Miguel Urbano},
  journal= {arXiv preprint arXiv:2510.10359},
  year   = {2025}
}

Comments

12 pages