Estimation of the best constant involving the L2 norm of the higher-order Wente problem

We study the best constant involving the L2 norm of the p-derivative solution of Wente's problem in ℝ2p. We prove that this best constant is achieved by the choice of some function u. We give also explicitly the expression of this constant in the special case p=2.

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Bibliographic Details
Main Authors: Sami Baraket, Makkia Dammak
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA.2005.599
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