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Elliptic PDEs on compact Ricci limit spaces and applications /
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, genera...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2018]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1211. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | "May 2018, volume 253, number 1211 (sixth of 7 numbers)." |
| Descripción Física: | 1 online resource (v, 92 pages) |
| Bibliografía: | Includes bibliographical references (pages 89-92). |
| ISBN: | 9781470444174 1470444178 |
| ISSN: | 1947-6221 ; |