Gradient estimates for singular quasilinear elliptic equations with measure data

Abstract

In this paper, we prove $L^q$-estimates for gradients of solutions to singular quasilinear elliptic equations with measure data $$-\mathrm{div}(A(x,\nabla u))=\mu ,$$ in a bounded domain $\Omega \subset {\mathbb{R}}^N$, where $A(x,\nabla u)\nabla u\asymp |\nabla u{|}^p$, $p\in (1,2-\frac{1}{n}]$ and $\mu$ is a Radon measure in $\Omega$

20 pages. arXiv admin note: text overlap with arXiv:1511.06218

Cited by in corpus (1)

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