The Dirichlet problem with $L^{p}$ boundary data in domains with Dini continuous normal
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چکیده
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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: Tsukuba Journal of Mathematics
سال: 1991
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496161566