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Inequalities between Dirichlet and Neumann Eigenvalues on the Heisenberg Group
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2010 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 15, 2889-2902 p.Article in journal (Refereed) Published
Abstract [en]

We prove that for any domain in the Heisenberg group the (k+1)th Neumann eigenvalue of the sub-Laplacian is strictly less than the kth Dirichlet eigenvalue. As a byproduct, we obtain similar inequalities for the Euclidean Laplacian with a homogeneous magnetic field.

Place, publisher, year, edition, pages
2010. no 15, 2889-2902 p.
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URN: urn:nbn:se:kth:diva-26854DOI: 10.1093/imrn/rnp230ISI: 000280920200002ScopusID: 2-s2.0-77955901064OAI: diva2:373758
QC 20101201Available from: 2010-12-01 Created: 2010-11-29 Last updated: 2012-04-14Bibliographically approved

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Laptev, Ari
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