Abstract

The aim of this article is to prove Poincare-type inequalities concerning functions in Sobolev spaces with anisotropic weights that appear in the investigation of the Oseen equations. The inequalities are a generalization and an extension of inequalities we established in a previous work. As an application, we derive existence result and anisotropically weighted Lp estimates for the pressure of the Oseen problem in ℝ3. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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