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math.AP2011★ 1 cited
On isoperimetric inequalities with respect to infinite measures
F. Brock, A. Mercaldo, M. R. Posteraro
We study isoperimetric problems with respect to infinite measures on . In the case of the measure defined by , , we prove that, among all sets…
math.AP2011
Weighted isoperimetric inequalities in cones and applications
Friedemann Brock, Francesco Chiacchio, Anna Mercaldo
This paper deals with weighted isoperimetric inequalities relative to cones of . We study the structure of measures that admit as isoperimetric sets the intersectio…