Eigenvalue bounds for the fractional Laplacian: A review

@article{Frank2016EigenvalueBF,
  title={Eigenvalue bounds for the fractional Laplacian: A review},
  author={Rupert L. Frank},
  journal={arXiv: Spectral Theory},
  year={2016}
}
  • R. Frank
  • Published 31 March 2016
  • Mathematics
  • arXiv: Spectral Theory
We review some recent results on eigenvalues of fractional Laplacians and fractional Schr\"odinger operators. We discuss, in particular, Lieb-Thirring inequalities and their generalizations, as well as semi-classical asymptotics. 
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