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Elliptic PDEs on Compact Ricci Limit Spaces and Applications

By: Shouhei Honda (Author)

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Ksh 18,350.00

Format: Paperback or Softback

ISBN-13: 9781470428549

Publisher: American Mathematical Society

Publication Date: Jun 30th, 2018

Category: Differential calculus & equations

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Examines 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.

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