Publications [#379801] of Hanye Zhu

Papers Published

1. Dong, H; Zhu, H, Gradient estimates for singular p-Laplace type equations with measure data, Journal of the European Mathematical Society, vol. 26 no. 10 (January, 2024), pp. 3939-3985, European Mathematical Society - EMS - Publishing House GmbH [doi]
   (last updated on 2025/07/04)

   Abstract:
   We are concerned with interior and global gradient estimates for solutions to a class of singular quasilinear elliptic equations with measure data, whose prototype is given by the p-Laplace equation −Δp​u=μ with p∈(1,2). The cases when p∈(2−n1​,2) and p∈(2n−13n−2​,2−n1​] were studied in Duzaar and Mingione [J. Funct. Anal. 259 (2010), 379–418] and Nguyen and Phuc [J. Funct. Anal. 278 (2020), art. 108391] respectively. In this paper, we improve the results of Nguyen and Phuc and address the open case when p∈(1,2n−13n−2​]. Interior and global modulus of continuity estimates of the gradients of solutions are also established.