Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities
Journal
Proceedings of the American Mathematical Society
Journal Volume
132
Journal Issue
6
Pages
1685-1691
Date Issued
2004
Author(s)
Abstract
We study the symmetry property of extremal functions to a family of weighted Sobolev inequalities due to Caffarelli-Kohn-Nirenberg. By using the moving plane method, we prove that all non-radial extremal functions are axially symmetric with respect to a line passing through the origin.
SDGs
Type
conference paper