Abstract
Let a[ ⋅] be a closed quadratic form defined on a subspace H 1 of a Hilbert space H, and let H 0 1 be an a-closed subspace of H 1 which is dense in H.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
N. Filonov. On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator, Algebra Anal. 16, No.2 (2004), 172–176 (Russian). English translation in St. Petersbg. Math. J. 16, No. 2 (2005), 413–416.
L. Friedlander. Some inequalities between Dirichlet and Neumann eigenvalues, Arch. Ration. Mech. Anal. 116 (1991), 153–160.
R. Mazzeo. Remarks on a paper of Friedlander concerning inequalities between Neumann and Dirichlet eigenvalues, Int. Math. Res. Not., No. 4 (1991), 41–48.
Y. Safarov, On the comparison of the Dirichlet and Neumann counting functions, AMS Translations (2), Advances in Mathematical Sciences, vol. 225 (2008), 191–204.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Basel
About this paper
Cite this paper
Safarov, Y. (2013). Lower Bounds for the Counting Function of an Integral Operator. In: Grieser, D., Teufel, S., Vasy, A. (eds) Microlocal Methods in Mathematical Physics and Global Analysis. Trends in Mathematics(). Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0466-0_22
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0466-0_22
Published:
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0465-3
Online ISBN: 978-3-0348-0466-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)