The Robin eigenvalue problem for the -Laplacian as

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• 作者：Farhod Abdullayev ; Marian Bocea
• 关键词：35D30 ; 35D40 ; 35J20 ; 35J60 ; 35J66 ; 35J70 ; 35P30 ; 46E30 ; 46E35 ; 49J40
• 刊名：Nonlinear Analysis
• 出版年：2013
• 出版时间：November, 2013
• 年：2013
• 卷：91
• 期：Complete
• 页码：32-45
• 全文大小：456 K

文摘

We study the asymptotic behavior, as , of the first eigenvalues and the corresponding eigenfunctions for the -Laplacian with Robin boundary conditions in an open, bounded domain with smooth boundary. We obtain uniform bounds for the sequence of first eigenvalues (suitably rescaled), and we prove that the positive first eigenfunctions converge uniformly in to a viscosity solution of a problem involving the-Laplacian subject to appropriate boundary conditions.