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Existence and uniqueness of positive eigenfunctions for certain eigenvalue systems

Published online by Cambridge University Press:  22 January 2016

Ru-Ying Xue  and
Yi-Min Yang
Ru-Ying Xue
Affiliation:
Department of Mathematics, XiXi Campus, Zhejiang University, Hangzhou 310028, Zhejiang, P. R. China, xuery@mail.hz.zj.cn
Yi-Min Yang
Affiliation:
Department of Mathematics, Hangzhou Normal College, Hangzhou 310003, Zhejiang, P. R. China
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Abstract

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The existence and uniqueness of eigenvalues and positive eigenfunctions for some quasilinear elliptic systems are considered. Some necessary and sufficient conditions which guarantee the existence and uniqueness of eigenvalues and positive eigenfunctions are given.

Keywords

35J6535D05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 173 , 2004 , pp. 65 - 84
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2004

References

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