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

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.