On the isoperimetric problem with double density

In this paper we consider the isoperimetric problem with double density in Euclidean space; that is, we study the minimisation of the perimeter among subsets of R^N with fixed volume, where volume and perimeter are relative to two different densities. The case of a single density, or equivalently, when the two densities coincide, has been well studied in the last years; nonetheless, the problem with two different densities is an important generalisation, also in view of applications. We will prove the existence of isoperimetric sets in this context, extending the known results for the case of single density.

On the isoperimetric problem with double density / Pratelli, A.; Saracco, G.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 177:B(2018), pp. 733-752. [10.1016/j.na.2018.04.009]

Titolo: On the isoperimetric problem with double density
Autori: Pratelli, A.; Saracco, G.
Autori Unitn: 
Saracco, Giorgio
mostra contributor esterni 
Titolo del periodico: NONLINEAR ANALYSIS
Anno di pubblicazione: 2018
Numero e parte del fascicolo: B
Codice identificativo Scopus: 2-s2.0-85046661714
Codice identificativo WOS: WOS:000449073400021
Digital Object Identifier (DOI): http://dx.doi.org/10.1016/j.na.2018.04.009
Handle: http://hdl.handle.net/11572/314313
Citazione: On the isoperimetric problem with double density / Pratelli, A.; Saracco, G.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 177:B(2018), pp. 733-752. [10.1016/j.na.2018.04.009]
Appare nelle tipologie:03.1 Articolo su rivista (Journal article)

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