6533b81ffe1ef96bd12780ea
RESEARCH PRODUCT
Some applications of the Chambers isoperimetric inequality
Barbara BrandoliniFrancesco Chiacchiosubject
Weighted isoperimetric inequalities rearrangements symmetrization sharp estimates eigenvaluesSettore MAT/05 - Analisi Matematicadescription
In this paper, using the Chambers isoperimetric inequality, we introduce the notion of weighted rearrangement of a function associated to the measure $f dx$, where $f(x)=e^{g(|x|)}$ for $x \in \mathbb{R}^n}$, with $g$ smooth, convex and even. Then we give some of its applications to variational inequalities and PDEs via weighted symmetrization.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 |