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math.AP2013
The fractional Cheeger problem
Lorenzo Brasco, Erik Lindgren, Enea Parini
Given an open and bounded set , we consider the problem of minimizing the ratio between the perimeter and the dimensional Lebesgue measure among subse…
math.AP2013★ 101 cited
Faber-Krahn inequalities in sharp quantitative form
Lorenzo Brasco, Guido De Philippis, Bozhidar Velichkov
The classical Faber-Krahn inequality asserts that balls (uniquely) minimize the first eigenvalue of the Dirichlet-Laplacian among sets with given volume. In this paper we prove a s…