منابع مشابه
The Dirichlet Problem on the Hyperbolic Ball
(1.2) PIH : C(Sn−1) −→ C(B) ∩ C∞(Bn), such that u = PIH f solves (1.2A) ∆Hu = 0 on B, u ∣∣ Sn−1 = f. Here, ∆H is the Laplace-Beltrami operator on B, with metric tensor (1.1). We will establish further regularity on u = PIH f when f has some further smoothness on Sn−1, and estimate du(x), in the hyperbolic metric, as x → ∂B. If n = 2, then ∆Hu = 0 if and only if ∆u = 0, where ∆ = ∂ 1 +∂ 2 2 is t...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2000
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(00)00137-0