JournalsrlmVol. 28, No. 4pp. 635–661

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
On the isoperimetric profile for a mixed Euclidean–Log-convex measure cover

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Abstract

We study the isoperimetric problem in Rh×Rk\mathbb R^h\times\mathbb R^k endowed with a mixed Euclidean–Log-convex measure λ=eψ(x)dxdy\lambda=e^{\psi(x)}\, dxdy. We prove the existence of an isoperimetric set and we show some of its qualitative properties.

Cite this article

Nicola Fusco, Diego Pallara, On the isoperimetric profile for a mixed Euclidean–Log-convex measure. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 4, pp. 635–661

DOI 10.4171/RLM/780