AI 中文总结
研究一类具斜边界条件和哈密顿项的奇异/退化完全非线性椭圆方程,在一般条件下,于统一框架内建立直至边界的精确 \(C^{1,\alpha}\) 正则性。
AI 中文摘要
本文聚焦于一类在 \(C^{1}\) 区域上具有斜边界条件和哈密顿项的奇异或退化完全非线性椭圆方程。在模型奇异/退化的相当一般条件下,我们在一个统一框架内建立了直至边界的精确 \(C^{1,\alpha}\) 正则性。
英文摘要
This paper focus on a class of singular or degenerate fully nonlinear elliptic equations with Hamiltonian terms under oblique boundary conditions on $C^{1}$ domains. Under quite general conditions on the singularity/degeneracy of the model, we establish the sharp $C^{1,α}$ regularity up to the boundary within a unified framework.