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1. 散度型Musielak-Orlicz方程的全局$C^{1,\alpha}$-正则性

Global $C^{1,α}$-Regularity for Musielak-Orlicz Equations in Divergence Form

作者: Hlel Missaoui

类别: math.AP

发布日期: 2026-01-16

arXiv ID: 2601.11495v1

链接: http://arxiv.org/abs/2601.11495v1

摘要: In this paper, we establish global $C^{1,α}$-regularity for bounded generalized solutions of elliptic equations in divergence form with Musielak-Orlicz growth and subject to Dirichlet or Neumann boundary conditions. In fact, our findings extend and generalize several important regularity results in cases of special attention such as variable exponent spaces, Orlicz spaces, and some $(p,q)$ situations. We also point out new conditions in the analysis that focus on the interplay between non-standard growth conditions and the boundary behavior in such generalized examples.