文章基本信息

标题：Simplicity and stability of the first eigenvalue of a nonlinear elliptic system
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作者：Abdelouahed El Khalil ; Said El Manouni ; Mohammed Ouanan 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
期号：10
页码：1555-1563
DOI：10.1155/IJMMS.2005.1555
出版社：Hindawi Publishing Corporation
摘要：
We prove some properties of the first eigenvalue for the elliptic system − Δ p u = λ | u | α | v | β v in Ω , − Δ q v = λ | u | α | v | β u in Ω , ( u , v ) ∈ W 0 1 , p ( Ω ) × W 0 1 , q ( Ω ) . In particular, the first eigenvalue is shown to be simple. Moreover, the stability with respect to ( p , q ) is established.