Continuous Steiner-Symmetrization

✍ Scribed by Friedemann Brock

• Publisher: John Wiley and Sons
• Year: 1995
• Tongue: English
• Weight: 810 KB
• Volume: 172
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19951720104

✦ Synopsis

For nonnegative L-measurable functions u : R" -+ R a continuous homotopy u', 0 < t 5 + co, is constructed, connecting u with its Steinersymmetrization u*. It is shown that a number of familiar relations between u and u* including some integral inequalities are also valid for u and u'. The method is applicable to prove symmetry properties of stationary solutions of variational problems.