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Elsevier, Comptes Rendus Mathématique, 11-12(351), p. 437-440

DOI: 10.1016/j.crma.2013.06.014

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Spectral properties of Schrödinger operators on compact manifolds: Rigidity, flows, interpolation and spectral estimates

Journal article published in 2013 by Jean Dolbeault ORCID, Maria J. Esteban, Ari Laptev, Michael Loss
This paper is available in a repository.
This paper is available in a repository.

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Abstract

This note is devoted to optimal spectral estimates for Schr̈odinger operators on compact connected Riemannian manifolds without boundary. These estimates are based on the use of appropriate interpolation inequalities and on some recent rigidity results for nonlinear elliptic equations on those manifolds.