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E-book
Author Honda, Shouhei, 1981- author.

Title Elliptic PDEs on compact Ricci limit spaces and applications / Shouhei Honda
Published Providence, Rhode Island : American Mathematical Society, [2018]
©2018

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Description 1 online resource (v, 92 pages)
Series Memoirs of the American Mathematical Society, 1947-6221 ; volume 253, number 1211
Memoirs of the American Mathematical Society ; no. 1211.
Contents Introduction -- Preliminaries -- Lp-convergence revisited -- Poisson's equations -- Schrödinger operators and generalized Yamabe constants -- Rellich type compactness for tensor fields -- Differential forms
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 spaces
Notes "May 2018, volume 253, number 1211 (sixth of 7 numbers)."
Bibliography Includes bibliographical references (pages 89-92)
Notes Print version record
Subject Geometry, Differential.
Differential equations, Elliptic.
Spaces of constant curvature.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Differential equations, Elliptic
Geometry, Differential
Spaces of constant curvature
Form Electronic book
Author American Mathematical Society, publisher
ISBN 9781470444174
1470444178