July  2000, 6(3): 683-690. doi: 10.3934/dcds.2000.6.683

Symmetry results for functions yielding best constants in Sobolev-type inequalities

1. 

Mathematisches Institut, Universität zu Köln, D - 50923 Köln, Germany

Received  November 1999 Revised  March 2000 Published  April 2000

I report on symmetry results for functions which yield sharp constants in various Sobolev-type inequalities. One of these results relies on a surprising convexity property.
Citation: Bernhard Kawohl. Symmetry results for functions yielding best constants in Sobolev-type inequalities. Discrete & Continuous Dynamical Systems - A, 2000, 6 (3) : 683-690. doi: 10.3934/dcds.2000.6.683
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