CONTINUOUS DEPENDENCE OF EIGENVALUES OF p-BIHARMONIC PROBLEMS ON p

被引：2

作者：

Benedikt, Jiri ^{[1
]}

机构：

[1] Univ W Bohemia, Fac Sci Appl, Dept Math, Plzen 30614, Czech Republic

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 03期

关键词：

p-biharmonic operator; nonlinear spectral theory; interlacing property; EQUATIONS;

D O I：

10.3934/cpaa.2013.12.1469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the Dirichlet and Neumann eigenvalue problem for the ordinary quasilinear fourth-order (p-biharmonic) equation (vertical bar u ''vertical bar(p-2)u '')'' = lambda vertical bar u vertical bar(p-2)u in [0, 1], p > 1. It is known that the eigenvalues of the Dirichlet and Neumann p-biharmonic problem are positive and nonnegative, respectively, isolated, and form an increasing unbounded sequence. We prove that the eigenvalues depend continuously on p, and that they interlace with the eigenvalues of the Navier p-biharmonic problem.

引用

页码：1469 / 1486

页数：18

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