Journal article 418 views
New Pólya–Szegö-type inequalities and an alternative approach to comparison results for PDE's
F. Brock,
F. Chiacchio,
A. Ferone,
A. Mercaldo,
Friedemann Brock
Advances in Mathematics, Volume: 336, Pages: 316 - 334
Swansea University Author: Friedemann Brock
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DOI (Published version): 10.1016/j.aim.2018.07.026
Abstract
We prove some Pólya–Szegö type inequalities which involve couples of functions and their rearrangements. The inequalities reduce to the classical Pólya–Szegö principle when the two functions coincide. As an application, we give a different proof of a comparison result for solutions to Dirichlet boun...
| Published in: | Advances in Mathematics |
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| ISSN: | 00018708 |
| Published: |
Elsevier
2018
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa48737 |
| Abstract: |
We prove some Pólya–Szegö type inequalities which involve couples of functions and their rearrangements. The inequalities reduce to the classical Pólya–Szegö principle when the two functions coincide. As an application, we give a different proof of a comparison result for solutions to Dirichlet boundary value problems for Laplacian equations. |
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| Keywords: |
Pólya–Szegö principle, Steiner symmetrization, elliptic equations, comparison results |
| College: |
Faculty of Science and Engineering |
| Start Page: |
316 |
| End Page: |
334 |