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Abstract and Applied Analysis
Volume 2005 (2005), Issue 6, Pages 599-606

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

Départment de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, Tunisia

Received 1 June 2004

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study the best constant involving the L2 norm of the p-derivative solution of Wente's problem in 2p. 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.