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Some sharp Sobolev inequalities on BV(Rn).
- Source :
- AIMS Mathematics; Sep2022, Vol. 7 Issue 9, p16851-16868, 18p
- Publication Year :
- 2022
-
Abstract
- In this paper, some sharp Sobolev inequalities on BV(R<superscript>n</superscript>), the space of functions of bounded variation on R<superscript>n</superscript>, n ≥ 2, are deduced through the L<subscript>p</subscript> Brunn-Minkowski theory. We will prove that these inequalities can all imply the sharp Sobolev inequality on BV(R<superscript>n</superscript>) [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 7
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 158531534
- Full Text :
- https://doi.org/10.3934/math.2022925