- journal article metadata
European Mathematical Society Publishing House
2017-11-18 23:40:02
Rendiconti Lincei - Matematica e Applicazioni
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.
RLM
1120-6330
1720-0768
General
10.4171/RLM
http://www.ems-ph.org/doi/10.4171/RLM
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2006)
28
2017
4
On the isoperimetric profile for a mixed Euclidean–Log-convex measure
Nicola
Fusco
Università degli Studi di Napoli Federico II, Italy
Diego
Pallara
Università degli Studi di Lecce, Italy
Isoperimetric problem, mixed densities, existence and properties of minimizers
We study the isoperimetric problem in $\mathbb R^h\times\mathbb R^k$ endowed with a mixed Euclidean–Log-convex measure $\lambda=e^{\psi(x)}\, dxdy$. We prove the existence of an isoperimetric set and we show some of its qualitative properties.
Calculus of variations and optimal control; optimization
Measure and integration
635
661
10.4171/RLM/780
http://www.ems-ph.org/doi/10.4171/RLM/780
11
15
2017