Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Exercises on the Theme of Continuous Symmetrization

Exercises on the Theme of Continuous Symmetrization In this paper, we discuss the Pólya–Szegő continuous symmetrization and its applications to isoperimetric inequalities. In particular, we survey results concerning monotonicity properties of certain characteristics, including torsional rigidity of cylindrical beams and principal frequency of a uniformly stretched elastic membrane of a drum, of triangles and other domains. Several remaining open problems on continuous symmetrization and relevant properties of domains and functions are also discussed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Exercises on the Theme of Continuous Symmetrization

Loading next page...
 
/lp/springer-journals/exercises-on-the-theme-of-continuous-symmetrization-YhzPeefWwV

References (37)

Publisher
Springer Journals
Copyright
Copyright © Springer-Verlag GmbH Germany, part of Springer Nature 2020
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-020-00331-y
Publisher site
See Article on Publisher Site

Abstract

In this paper, we discuss the Pólya–Szegő continuous symmetrization and its applications to isoperimetric inequalities. In particular, we survey results concerning monotonicity properties of certain characteristics, including torsional rigidity of cylindrical beams and principal frequency of a uniformly stretched elastic membrane of a drum, of triangles and other domains. Several remaining open problems on continuous symmetrization and relevant properties of domains and functions are also discussed.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Nov 13, 2020

There are no references for this article.