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math.AP2025
Optimal Hölder regularity for solutions to Signorini-type obstacle problems
Ki-Ahm Lee, Se-Chan Lee, Waldemar Schefer
We study the existence, uniqueness, and regularity of weak solutions to a class of obstacle problems, where the obstacle condition can be imposed on a subset of the domain. In part…
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…