Higher Order Elliptic Equations on Nonsmooth Domains

2025/02/13 by Jun Geng, Geng, Jun
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2502.09339

openalex publication_date 2025/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 1995, D. Jerison and C. Kenig in \citeJK-1995 considered the the inhomogeneous Dirichlet problem Δu= f on Ω, u=0 on ∂Ω in Lipschitz domains. One of their main results shows that the W^1,p estimate holds for the sharp range (3)/(2)-ε

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