文章基本信息

标题：The eigenvalue problem for the <mml:math alttext="$p$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-Laplacian-like equations
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作者：Zu-Chi Chen ; Tao Luo
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：2003
卷号：2003
DOI：10.1155/S0161171203006744
出版社：Hindawi Publishing Corporation
摘要：We consider the eigenvalue problem for the following p-Laplacian-like equation: −div(a(|Du|p)|Du|p−2Du)=λf(x,u) in Ω, u=0 on ∂Ω, where Ω⊂ℝn is a bounded smooth domain. When λ is small enough, a multiplicity result for eigenfunctions are obtained. Two examples from nonlinear quantized mechanics and capillary phenomena, respectively, are given for applications of the theorems.