Elliptic PDEs on compact Ricci limit spaces and applications / Shouhei Honda

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Memoirs of the American Mathematical Society ; volume 253, number 1211Publisher: Providence, Rhode Island : American Mathematical Society, 2018Description: 1 Online-Ressource (v, 92 pages)Subject(s): Additional physical formats: 1470428547 | 9781470428549 | 1470444178. | 9781470444174. | Erscheint auch als: Elliptic PDEs on compact Ricci limit spaces and applications Druck-AusgabeMSC: MSC: *53C21 | 53C23LOC classification:
  • QA3
Online resources: Summary: In this paper we study elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular we establish continuities of geometric quantities, which include solutions of Poisson’s equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. We apply these to the study of second-order differential calculus on such limit spacesPPN: PPN: 1026555817Package identifier: Produktsigel: ZDB-4-NLEBK
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