A RELATIVE ISOPERIMETRIC INEQUALITY
2012 ◽
Vol 14
(03)
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pp. 1250023
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Keyword(s):
We prove that, if Ω is an open subset of ℝN with finite measure, there exists a hyperplane H through 0 such that the measure of Ω ∩ H is less than the measure of B ∩ H, where B is the open ball with center 0 having the same measure as Ω. An application is given to the optimal Poincaré inequality on BV(Ω).
2018 ◽
Vol 20
(05)
◽
pp. 1750068
2018 ◽
Vol 2020
(18)
◽
pp. 5661-5678
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Keyword(s):
Keyword(s):
Keyword(s):
2014 ◽
Vol 2015
(17)
◽
pp. 8116-8151
2014 ◽
Vol 35
(4)
◽
pp. 575-598
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