Eigenvalue problems in Orlicz-Sobolev spaces for rapidly growing operators in divergence form

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• 作者：Marian Bocea ; Mihai Mih膬ilescu
• 关键词：35D30 ; 35J92 ; 35P30 ; 46E30 ; 49J40 ; 49J45
• 刊名：Journal of Differential Equations
• 出版年：15 January, 2014
• 年：2014
• 卷：256
• 期：2
• 页码：640-657
• 全文大小：221 K

文摘

Eigenvalue problems involving the p-Laplacian and rapidly growing operators in divergence form are studied in an Orlicz-Sobolev setting. An asymptotic analysis of these problems leads to a full characterization of the spectrum of an exponential type perturbation of the Laplace operator.