2005/04/20 by Daniel John, John, Daniel
Computer Science · Mathematics · #35J60 (Secondary) #49Q10 (Primary) 53C42 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:35J60 #msc:49Q10 #msc:53C42
paper · pdf · doi:10.48550/arxiv.math/0504405
28 pages, 1 figure
arxiv created 2005/04/20 · openalex publication_date 2005/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish a new symmetrization procedure for the isoperimetric problem in symmetric spaces of noncompact type. This symmetrization generalizes the well known Steiner symmetrization in euclidean space. In contrast to the classical construction the symmetrized domain is obtained by solving a nonlinear elliptic equation of mean curvature type. We conclude the paper discussing possible applications to the isoperimetric problem in symmetric spaces of noncompact type.