Existence of isoperimetric regions in R n with density

By Frank Morgan, Aldo Pratelli. 2011

70 citations recorded by the source corpus.

Weprovetheexistenceofisoperimetricregionsin R n withdensityundervarious hypotheses on the growth of the density. Along the way, we prove results on the boundedness of isoperimetric regions.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8a72f522839c3c2fd69af80d905c831c153dbe7b