Well-Posedness of Weinberger’s Center of Mass by Euclidean Energy Minimization

Research output: Contribution to journalArticlepeer-review

Abstract

The center of mass of a finite measure with respect to a radially increasing weight is shown to exist, be unique, and depend continuously on the measure.

Original languageEnglish (US)
Pages (from-to)8762-8779
Number of pages18
JournalJournal of Geometric Analysis
Volume31
Issue number9
DOIs
StatePublished - Sep 2021

Keywords

  • Centroid
  • Moment of inertia
  • Shape optimization
  • Spectral maximization

ASJC Scopus subject areas

  • Geometry and Topology

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