@article{aca9c0a784564f998c7f754830251c00,
title = "Well-Posedness of Weinberger{\textquoteright}s Center of Mass by Euclidean Energy Minimization",
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.",
keywords = "Centroid, Moment of inertia, Shape optimization, Spectral maximization",
author = "Laugesen, {R. S.}",
note = "Funding Information: This research was supported by a Grant from the Simons Foundation (#429422 to Richard Laugesen) and the University of Illinois Research Board (RB19045). I am grateful to Mark Ashbaugh and Jeffrey Langford for stimulating conversations and references about center of mass results. Publisher Copyright: {\textcopyright} 2020, Mathematica Josephina, Inc.",
year = "2021",
month = sep,
doi = "10.1007/s12220-020-00402-5",
language = "English (US)",
volume = "31",
pages = "8762--8779",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer",
number = "9",
}