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Estimation of the best constant involving the L 2 norm of the higher-order Wente problem

Sami Baraket and Makkia Dammak

Abstract and Applied Analysis, 2005, vol. 2005, 1-8

Abstract:

We study the best constant involving the L 2 norm of the p -derivative solution of Wente's problem in ℝ 2 p . 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 .

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:705180

DOI: 10.1155/AAA.2005.599

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