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CONTINUITY OF THE VARIATIONAL EIGENVALUES OF THE p-LAPLACIAN WITH RESPECT TO p

Part of: Spectral theory and eigenvalue problems

Published online by Cambridge University Press:  15 March 2011

ENEA PARINI
ENEA PARINI*
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D-50931 Köln, Germany (email: [email protected])
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Abstract

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In this note it is shown that a result of Champion and De Pascale [‘Asymptotic behavior of nonlinear eigenvalue problems involving p-Laplacian type operators’, Proc. Roy. Soc. Edinburgh Sect. A 137 (2007), 1179–1195] implies that the variational eigenvalues of the p-Laplacian are continuous with respect to p.

Keywords

nonlinear eigenvaluesp-Laplacian

MSC classification

Secondary: 35P30: Nonlinear eigenvalue problems, nonlinear spectral theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 3 , June 2011 , pp. 376 - 381
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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