Abstract and Applied Analysis
Volume 2005 (2005), Issue 6, Pages 599-606
doi:10.1155/AAA.2005.599
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 Sami Baraket and Makkia Dammak. 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.
Abstract
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.