Symmetry of Extremal Functions for the Caffarelli-kohn-nirenberg Inequalities
نویسندگان
چکیده
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.
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