The $L^p$ Dirichlet Problem for Elliptic Systems on Lipschitz Domains
نویسندگان
چکیده
منابع مشابه
Necessary and sufficient conditions for the solvability of the Lp Dirichlet problem on Lipschitz domains
We study the homogeneous elliptic systems of order 2 with real constant coefficients on Lipschitz domains in Rn, n ≥ 4. For any fixed p > 2, we show that a reverse Hölder condition with exponent p is necessary and sufficient for the solvability of the Dirichlet problem with boundary data in Lp. We also obtain a simple sufficient condition. As a consequence, we establish the solvability of the L...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2006
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2006.v13.n1.a11