In this paper, we prove that for any strictly convex polynomial, or more generally
any strictly convex function satisfying appropriate conditions, there is an associated Sobolev type
inequality.
Publié le : 2008-06-15
Classification:
Sobolev inequality,
Green function,
elliptic equation,
46E35,
45J20,
35J60
@article{1251827668,
author = {Tian, Gu-Ji and Wang, Xu-Jia},
title = {A Class of Sobolev Type Inequalities},
journal = {Methods Appl. Anal.},
volume = {15},
number = {1},
year = {2008},
pages = { 263-276},
language = {en},
url = {http://dml.mathdoc.fr/item/1251827668}
}
Tian, Gu-Ji; Wang, Xu-Jia. A Class of Sobolev Type Inequalities. Methods Appl. Anal., Tome 15 (2008) no. 1, pp. 263-276. http://gdmltest.u-ga.fr/item/1251827668/