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ON THE FIRST EIGENCONE FOR THE FINSLER LAPLACIAN

Part of: Spectral theory and eigenvalue problems Global differential geometry Elliptic equations and systems

Published online by Cambridge University Press:  16 March 2016

QIAOLING XIA
QIAOLING XIA*
Affiliation:
School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province, 310027, PR China email [email protected]
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Abstract

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In this paper, we characterise the structure of the eigencone for the Finsler Laplacian corresponding to the first Dirichlet eigenvalue on a compact Finsler manifold with a smooth boundary.

Keywords

Finsler Laplacianfirst eigenvaluefirst eigencone

MSC classification

Primary: 53C60: Finsler spaces and generalizations (areal metrics)
Secondary: 35P30: Nonlinear eigenvalue problems, nonlinear spectral theory 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 316 - 325
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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