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math.AP2022
Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations
Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee +1
We provide the Alexandroff-Bakelman-Pucci estimate and global -regularity for a class of singular/degenerate fully nonlinear elliptic equations. We also derive the existe…
math.AP2022
C^{1,α}-regularity for a class of degenerate/singular fully nonlinear elliptic equations
Sumiya Baasandorj, Sun-Sig Byun, Ki-Ahm Lee +1
We establish an optimal C^{1,α}-regularity for viscosity solutions of degenerate/singular fully nonlinear elliptic equations by finding minimal regularity requirements on the assoc…
math.AP2022★ 23 cited
The Wiener criterion for nonlocal Dirichlet problems
Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee
We study the boundary behavior of solutions to the Dirichlet problems for integro-differential operators with order of differentiability and summability . We es…