Calculus of Variations and Geometric Measure Theory

S. Nardulli

Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and appl. to the isoperimetric profile

created by nardulli on 07 Oct 2012
modified on 31 Jul 2019


Published Paper

Inserted: 7 oct 2012
Last Updated: 31 jul 2019

Journal: The Asian Journal of Mathematics
Pages: 40
Year: 2012


For a complete noncompact Riemannian manifold with smoothly bounded geometry, we prove the existence of isoperimetric regions in a larger space obtained by adding nitely many limit manifolds at in nity. As one of many possible applications, we extend properties of the isoperimetric pro le from compact manifolds to such noncompact manifolds.