文章基本信息

标题：A Class of p-q-Laplacian Type Equation with Potentials Eigenvalue Problem in RN
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作者：Mingzhu Wu ; Zuodong Yang
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2009
卷号：2009
DOI：10.1155/2009/185319
出版社：Hindawi Publishing Corporation
摘要：
The nonlinear elliptic eigenvalue problem − div ( | ∇ u | p − 2 ∇ u ) − div ( | ∇ u | q − 2 ∇ u ) + λ a ( x ) | u | p − 2 u + λ b ( x ) | u | q − 2 u = f ( x , u ) , u ∈ W 1 , p ∩ W 1 , q ( R N ) , where 2 ≤ q ≤ p < N and a ( x ) ∈ L N / p ( R N ) , b ( x ) ∈ L N / q ( R N ) , a ( x ) , b ( x ) > 0 are studied. The key ingredient is a special constrained minimization method.