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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Honda, Shouhei, 1981- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1211.
Subjects:
Geometry, Differential.
Differential equations, Elliptic.
Spaces of constant curvature.
Géométrie différentielle.
Équations différentielles elliptiques.
Espaces à courbure constante.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations, Elliptic
Geometry, Differential
Spaces of constant curvature
Online Access:Texto completo
Table of Contents:
  • Introduction
  • Preliminaries
  • Lp-convergence revisited
  • Poisson's equations
  • Schrödinger operators and generalized Yamabe constants
  • Rellich type compactness for tensor fields
  • Differential forms.

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