We study the isoperimetric problem in R^h x R^k endowed with a mixed Euclidean-Log-convex measure λ=e^{ψ(x)} dxdy. We prove the existence of an isoperimetric set and we show some of its qualitative properties.
On the isoperimetric profile for a mixed Euclidean-Log-convex measure / Fusco, Nicola; Pallara, Diego. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 28:4(2017), pp. 635-661. [10.4171/RLM/780]
On the isoperimetric profile for a mixed Euclidean-Log-convex measure
Fusco, Nicola;
2017
Abstract
We study the isoperimetric problem in R^h x R^k endowed with a mixed Euclidean-Log-convex measure λ=e^{ψ(x)} dxdy. We prove the existence of an isoperimetric set and we show some of its qualitative properties.File in questo prodotto:
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