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

Sumiya Baasandorj; Sun-Sig Byun; Ki-Ahm Lee; Se-Chan Lee

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

Analysis of PDEs 2022-10-03 v1

Authors: Sumiya Baasandorj , Sun-Sig Byun , Ki-Ahm Lee , Se-Chan Lee

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.

Keywords

fully nonlinear elliptic equations singular degenerate equations alexandroff-bakelman-pucci estimate global c1alpha regularity viscosity solution dirichlet problem

Cite

@article{arxiv.2209.15232,
  title  = {Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations},
  author = {Sumiya Baasandorj and Sun-Sig Byun and Ki-Ahm Lee and Se-Chan Lee},
  journal= {arXiv preprint arXiv:2209.15232},
  year   = {2022}
}

Comments

23 pages

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