Divergence operator and Poincaré inequalities on arbitrary bounded domains
نویسندگان
چکیده
منابع مشابه
Divergence operator and Poincaré inequalities on arbitrary bounded domains
Let Ω be an arbitrary bounded domain of Rn. We study the right invertibility of the divergence on Ω in weighted Lebesgue and Sobolev spaces on Ω, and relate this invertibility to a geometric characterization of Ω and to weighted Poincaré inequalities on Ω. We recover, in particular, well-known results on the right invertibility of the divergence in Sobolev spaces when Ω is Lipschitz or, more ge...
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2010
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476931003786659