科研之友
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摘要
We introduce a new variational method for the study of isoperimetric inequalities with quantitative terms. The method is general as it relies on a penalization technique combined with the regularity theory for quasiminimizers of the perimeter. Two notable applications are presented. First we give a new proof of the sharp quantitative isoperimetric inequality in . Second we positively answer a conjecture by Hall concerning the best constant for the quantitative isoperimetric inequality in in the small asymmetry regime.
- 出版日期2012-11
