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The Petty projection inequality for sets of finite perimeter.
- Source :
-
Calculus of Variations & Partial Differential Equations . Oct2021, Vol. 60 Issue 5, p1-18. 18p. - Publication Year :
- 2021
-
Abstract
- The Petty projection inequality for sets of finite perimeter is proved. Our approach is based on Steiner symmetrization. Neither the affine Sobolev inequality nor the functional Minkowski problem is used in our proof. Moreover, for sets of finite perimeter, we prove the Petty projection inequality with respect to Steiner symmetrization. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE, The
*EQUALITY
*EVIDENCE
Subjects
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 60
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Calculus of Variations & Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 152351665
- Full Text :
- https://doi.org/10.1007/s00526-021-02074-7