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Elliptic multiparameter eigenvalue problems

Published online by Cambridge University Press:  20 January 2009

P. A. Binding  and
K. Seddighi
P. A. Binding
Affiliation:
Department of Mathematics snd Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4
K. Seddighi
Affiliation:
Department of Mathematics, University of Shiraz, Iran
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We study the eigenproblem

where

and Tm, Vmn are self-adjoint operators on separable Hilbert spaces Hm. We assume the Tm to be bounded below with compact resolvents, and the Vmn to be bounded and to satisfy an “ellipticity” condition. If k = 1 then ellipticity is automatic, and if each Tm is positive definite then the problem is “left definite”.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 2 , June 1987 , pp. 215 - 228
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

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