2 papers
math.AP2026
Gradient Estimates Near the Natural Exponent for Very Weak Solutions to -Weighted Quasilinear Elliptic Equations
Sun-Sig Byun, Minkyu Lim
We establish local Calderón--Zygmund estimates near the natural exponent for very weak solutions to matrix-weighted quasilinear equations\[ - \mathrm{div\,} A_{\mathbb{M}}(x,Du) =…
math.AP2023
Existence of very weak solutions to nonlinear elliptic equation with nonstandard growth and global weighted gradient estimates
Sun-Sig Byun, Minkyu Lim
We study a general class of quasilinear elliptic equations with nonstandard growth to prove the existence of a very weak solution to such a problem. A key ingredient in the proof i…