Elliptic PDEs on compact Ricci limit spaces and applications
Author(s)
Bibliographic Information
Elliptic PDEs on compact Ricci limit spaces and applications
（Memoirs of the American Mathematical Society, no. 1211）
American Mathematical Society, c2018
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Note
Includes bibliographical references
May 2018, volume 253, number 1211 (sixth of 7 numbers)
Description and Table of Contents
Description
In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrodinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.
Table of Contents
Introduction
Preliminaries
$L^p$-convergence revisited
Poisson's equations
Schrodinger operators and generalized Yamabe constants
Rellich type compactness for tensor fields
Differential forms
Bibliography.
by "Nielsen BookData"
