Title of article
Extremal functions for the Caffarelli–Kohn–Nirenberg inequalities: A simple proof of the symmetry
Author/Authors
Bouchez، نويسنده , , Vincent and Willem، نويسنده , , Michel، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
8
From page
293
To page
300
Abstract
In this article, we give a simple proof of the result due to Lin and Wang ensuring the foliated Schwarz symmetry of the extremal functions for the Caffarelli–Kohn–Nirenberg inequalities. This new proof uses a direct and powerful method due to Bartsch, Weth and Willem using polarizations.
Keywords
Strong maximum principle , Foliated Schwarz symmetry , Laplace–Beltrami operator , Polarization
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1559784
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