Proceedings of the American Mathematical Society

Author(s): Chang-Shou Lin; Zhi-Qiang Wang
Journal: Proc. Amer. Math. Soc. 132 (2004), 1685-1691.
MSC (2000): Primary 35B33; Secondary 46E35
Posted: January 16, 2004
Errata: Proc. Amer. Math. Soc. (recently posted)
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35B33, 46E35

Chang-Shou Lin
Affiliation: Department of Mathematics, National Chung Cheng University, Chiayi, Taiwan

Zhi-Qiang Wang
Affiliation: Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322

DOI: 10.1090/S0002-9939-04-07245-4
PII: S 0002-9939(04)07245-4
Keywords: Weighted Sobolev inequalities, Extremal functions, Exact symmetry
Received by editor(s): October 30, 2002
Posted: January 16, 2004
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2004, American Mathematical Society

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