𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A strong form of the quantitative isoperimetric inequality

✍ Scribed by Fusco, Nicola; Julin, Vesa

Book ID
121630145
Publisher
Springer
Year
2013
Tongue
English
Weight
222 KB
Volume
50
Category
Article
ISSN
0944-2669

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Functional Form of the Isoperimetric I
A Functional Form of the Isoperimetric Inequality for the Gaussian Measure
✍ S. Bobkov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 367 KB

Let g be a smooth function on R n with values in [0, 1]. Using the isoperimetric property of the Gaussian measure, it is proved that ,(8 &1 (Eg))&E,(8 &1 ( g)) E |{g|. Conversely, this inequality implies the isoperimetric property of the Gaussian measure.

The Generalized Strong Isoperimetric Ine
The Generalized Strong Isoperimetric Inequality in Locally Finite Networks
✍ Werner Oettli; Maretsugu Yamasaki πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 183 KB

A result concerning the equivalence of the strong isoperimetric inequality and the Poincare᎐Sobolev inequality in locally finite networks is generalized, and an Ñlternative characterization of these properties is given.