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arXiv · 1907.03214

Eigenvalue estimates via H\"{o}mander's $L^2$-method

Qingchun Ji·Li Lin
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Abstract

Under various elliptic boundary conditions, we obtain lower eigenvalue estimates for Dirac operators by using Hormander's weighted $L^2$-technique. Lower bounds in terms of the volume of the underlying manifolds are also deduced from the sharp Sobolev inequality due to Li and Zhu(\cite{LZ}).

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Qingchun Ji, Li Lin. 2019-07-07. Eigenvalue estimates via H\"{o}mander's $L^2$-method. https://arxiv.org/abs/1907.03214

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