EXISTENCE AND REGULARITY ESTIMATES FOR QUASILINEAR EQUATIONS WITH MEASURE DATA: THE CASE 1 < p ≤ (3n-2)/(2n-1)

Document Type

Article

Publication Date

1-1-2022

Abstract

We obtain existence and global regularity estimates for gradients of solutions to quasilinear elliptic equations with measure data whose prototypes are of the form (Formula Presented) in a bounded domain Ω ⊂ Rn potentially with nonsmooth boundary. Here either δ = 0 or δ = 1, μ is a finite signed Radon measure in Ω, and q ≥ 1. Our main concern is to extend earlier results to the strongly singular case 1

Publication Source (Journal or Book title)

Analysis and Pde

First Page

1879

Last Page

1895

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