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

2018/07/12 by Quoc‐Hung Nguyen, Nguyen, Quoc-Hung, Nguyen Cong Phuc +1 · 1 citation
Decision Sciences · Economics, Econometrics and Finance · Social Sciences · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Insurance and Financial Risk Management #Insurance, Mortality, Demography, Risk Management #Risk and Portfolio Optimization

paper · pdf · doi:10.48550/arxiv.1807.04850

openalex publication_date 2018/07/12 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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-2)/(2n-1)

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