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Original Articles

Minimal rearrangements, strict convexity and critical points

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Pages 67-85 | Received 05 May 2004, Accepted 11 Sep 2004, Published online: 25 Jan 2007
 

Abstract

An asymmetry estimate for extremal functions in Pólya–Szegö type inequalities for Dirichlet integrals is established in presence of critical points and nonstrictly convex integrands.

Acknowledgement

We wish to thank the referee for carefully reading the manuscript and for his/her helpful suggestions.

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