ESTIMATION OF THE BEST CONSTANT INVOLVING THE L^2 NORM OF THE HIGHER-ORDER WENTE PROBLEM

ESTIMATION OF THE BEST CONSTANT INVOLVING THE L^2 NORM OF THE HIGHER-ORDER WENTE PROBLEM

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 .

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Veröffentlicht in:Abstract and Applied Analysis 2005-01, Vol.2005 (6), p.599-606
Hauptverfasser: Baraket, Sami, Dammak, Makkia
Format: Artikel
Sprache:eng
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Zusammenfassung: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 .
ISSN:1085-3375
1687-0409
DOI:10.1155/AAA.2005.599