On isoperimetric inequalities for single layer potentials
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- by Seyed M. Zoalroshd PDF
- Proc. Amer. Math. Soc. 145 (2017), 323-326 Request permission
Abstract:
We show that among all rectangles of given perimeter, the square is a minimizer of the Schatten $p-$norms of the single layer potentials. We also prove that the equilateral triangle is a minimizer of the Schatten $p-$norms of the single layer potentials over triangles of equal perimeter.References
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Additional Information
- Seyed M. Zoalroshd
- Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33620
- Email: szoalros@mail.usf.edu
- Received by editor(s): February 15, 2016
- Received by editor(s) in revised form: March 28, 2016
- Published electronically: July 12, 2016
- Communicated by: Michael Hitrik
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 323-326
- MSC (2010): Primary 47G40; Secondary 35P99, 35S15
- DOI: https://doi.org/10.1090/proc/13236
- MathSciNet review: 3565383