Sun-Sig Byun

Regularity Estimates for Quasilinear Elliptic Equations with Measure Data and Matrix-Valued Weight

This paper is concerned with the existence and local gradient regularity of solutions to a quasilinear elliptic Dirichlet problem with finite Radon measure and a degenerate matrix-valued weight. Under a small log-BMO condition on $\mathbb M$, we first prove the existence of a SOLA (solution obtained by a limit of appro...