The L^p Dirichlet Problem for Elliptic Systems on Lipschitz Domains

2004/11/05 by Zhongwei Shen, Shen, Zhongwei
Computer Science · Mathematics · #35J55:35J40 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #math.CA

paper · pdf · doi:10.48550/arxiv.math/0411120

arxiv created 2004/11/05 · openalex publication_date 2004/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a new approach to the L^p Dirichlet problem via L² estimates and reverse Holder inequalities. We apply this approach to second order elliptic systems and the polyharmonic equation on a bounded Lipschitz domain Ω in Rⁿ. For n≥ 4 and 2-ε

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