Title of article
The Neumann problem in Lp on Lipschitz and convex domains
Author/Authors
Aekyoung Shin Kim، نويسنده , , Zhongwei Shen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
14
From page
1817
To page
1830
Abstract
Given p >2 and a bounded Lipschitz domain Ω, we obtain a necessary and sufficient condition for the
solvability of the Neumann problem for Laplace’s equation u = 0 in Ω with boundary data in Lp(∂Ω).
As a result, we show that the Lp Neumann problem on convex domains in Rd is solvable for 1
Keywords
Convex domain , Lipschitz domain , neumann problem
Journal title
Journal of Functional Analysis
Serial Year
2008
Journal title
Journal of Functional Analysis
Record number
839715
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