Good- λ and Muckenhoupt–Wheeden type bounds in quasilinear measure datum problems, with applications

Authors

Quoc Hung Nguyen, Scuola Normale Superiore di Pisa
Nguyen Cong Phuc, Louisiana State University

Document Type

Article

Publication Date

6-1-2019

Abstract

Weighted good-λ type inequalities and Muckenhoupt–Wheeden type bounds are obtained for gradients of solutions to a class of quasilinear elliptic equations with measure data. Such results are obtained globally over sufficiently flat domains in Rⁿ in the sense of Reifenberg. The principal operator here is modeled after the p-Laplacian, where for the first time singular case 3n-22n-1

Publication Source (Journal or Book title)

Mathematische Annalen

First Page

67

Last Page

98

Recommended Citation

Nguyen, Q., & Phuc, N. (2019). Good- λ and Muckenhoupt–Wheeden type bounds in quasilinear measure datum problems, with applications. Mathematische Annalen, 374 (1-2), 67-98. https://doi.org/10.1007/s00208-018-1744-2