34 citations · 107 across the 46 of their papers we have counts for
5 papers · 2 filters
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…
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…
Self-improving properties of very weak solutions to double phase systems
Sumiya Baasandorj, Sun-Sig Byun, Wontae Kim
We prove the self-improving property of very weak solutions to non-uniformly elliptic problems of double phase type in divergence form under sharp assumptions on the nonlinearity.
Gradient estimates of very weak solutions to general quasilinear elliptic equations
Sun-Sig Byun, Minkyu Lim
We establish a gradient estimate for a very weak solution to a quasilinear elliptic equation with a nonstandard growth condition, which is a natural generalization of the -Lapla…
Global Maximal Regularity for Equations with Degenerate Weights
Anna Kh. Balci, Sun-Sig Byun, Lars Diening +1
In this paper we are concerned with global maximal regularity estimates for elliptic equations with degenerate weights. We consider both the linear case and the non-linear case. We…