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Asymptotic distribution of Liusternik-Schnirelman eigenvalues for elliptic nonlinear operators

Published online by Cambridge University Press:  20 January 2009

V. B. Moscatelli  and
M. Thompson
V. B. Moscatelli
Affiliation:
Instituto Di MatematicaUniversità CP193Via Arnesano73100 Lecce, Italy
M. Thompson
Affiliation:
Instituto De MatemáticaUFRGSCampus Do Vale9500 Bento Gonçalves91500 Porto Alegre, Brazil
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Abstract

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Asymptotic formulae are given for the distribution of Liusternik-Schnirelman eigenvalues of certain pairs of nonlinear functionals generalising the usual Weyl theory for linear pairs of elliptic operators. In particular an application is made to the von Kármán theory of buckled plates.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 3 , October 1990 , pp. 381 - 403
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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