Description |
1 online resource (v, 92 pages) |
Series |
Memoirs of the American Mathematical Society, 1947-6221 ; volume 253, number 1211 |
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Memoirs of the American Mathematical Society ; no. 1211.
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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.
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Differential equations, Elliptic.
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Spaces of constant curvature.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Differential equations, Elliptic
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Geometry, Differential
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Spaces of constant curvature
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Form |
Electronic book
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Author |
American Mathematical Society, publisher
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ISBN |
9781470444174 |
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1470444178 |
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