Estimation of the best constant involving the L2 norm of the higher-order Wente problem
Sami Baraket1and Makkia Dammak1
Received01 Jun 2004
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.