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arXiv · 2209.15232

Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations

Sumiya Baasandorj·Sun-Sig Byun·Ki-Ahm Lee·Se-Chan Lee
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Abstract

We provide the Alexandroff-Bakelman-Pucci estimate and global $C^{1, \alpha}$-regularity for a class of singular/degenerate fully nonlinear elliptic equations. We also derive the existence of a viscosity solution to the Dirichlet problem with the associated operator.

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Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee, Se-Chan Lee. 2022-09-30. Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations. https://arxiv.org/abs/2209.15232

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