Eigenvalue Bounds for the Fractional Laplacian: A Review

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Abstract

We review some recent results on eigenvalues of fractional Laplacians and fractional Schrödinger operators.We discuss, in particular, Lieb-Thirring inequalities and their generalizations, as well as semi-classical asymptotics.

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Frank, R. L. (2018). Eigenvalue Bounds for the Fractional Laplacian: A Review. In Recent developments in Nonlocal Theory (pp. 210–235). De Gruyter. https://doi.org/10.1515/9783110571561-007

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