A survey on the existence of isoperimetric sets in the space ℝ N with density

Pratelli A (2015)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Rendiconti Lincei. Matematica e Applicazioni European Mathematical Society

Book Volume: 26

Pages Range: 99-118

Journal Issue: 1

DOI: 10.4171/RLM/696

Abstract

The aim of this survey is to give a precise idea of the recent results on existence of isoperimetric sets in double-struck RN with density. We will mainly focus on the overall ideas, leaving away some technical details of the proofs, which can be found in the cited papers. No previous knowledge on the subject is assumed from the reader. This survey originates from a talk of the author at the conference "New Trends in Nonlinear PDE's" held at the Accademia dei Lincei on November 26th, 2013. I wish to dedicate this paper to Carlo Sbordone, because of his recent 65th birthday, and to Ula, because she will become my wife in few days.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

How to cite

APA:

Pratelli, A. (2015). A survey on the existence of isoperimetric sets in the space ℝ <sup>N</sup> with density. Rendiconti Lincei. Matematica e Applicazioni, 26(1), 99-118. https://dx.doi.org/10.4171/RLM/696

MLA:

Pratelli, Aldo. "A survey on the existence of isoperimetric sets in the space ℝ <sup>N</sup> with density." Rendiconti Lincei. Matematica e Applicazioni 26.1 (2015): 99-118.

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