The L Dirichlet Problem for the Stokes System on Lipschitz Domains
نویسنده
چکیده
We study the Lp Dirichlet problem for the Stokes system on Lipschitz domains. For any fixed p > 2, we show that a reverse Hölder condition with exponent p is sufficient for the solvability of the Dirichlet problem with boundary data in LpN (∂Ω, R d). Then we obtain a much simpler condition which implies the reverse Hölder condition. Finally, we establish the solvability of the Lp Dirichlet problem for d ≥ 4 and 2−ε < p < 2(d−1) d−3 +ε. MSC (2000): 35Q30.
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