Estimation of the best constant involving the $L^2$ norm of the higher-order Wente problem

Baraket, Sami; Dammak, Makkia

Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 599-606 / Harvested from Project Euclid

Résumé

We study the best constant involving the $L^2$ norm of the $p$ -derivative solution of Wente's problem in $\mathbb{R}^{2p}$ . 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 $p=2$ .

Publié le : 2005-08-22
Classification:

@article{1128345940,
     author = {Baraket, Sami and Dammak, Makkia},
     title = {Estimation of the best constant involving the $L^2$ norm of the higher-order Wente problem},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 599-606},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128345940}
}

Baraket, Sami; Dammak, Makkia. Estimation of the best constant involving the $L^2$ norm of the higher-order Wente problem. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  599-606. http://gdmltest.u-ga.fr/item/1128345940/