圆柱域中在一个方向上变得无界的非线性椭圆特征值问题

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2024-04-23 DOI:10.3233/asy-241907

Rama Rawat, Haripada Roy, Prosenjit Roy

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引用次数: 0

摘要

这项工作的目的是描述当圆柱形域的长度趋于无穷大时，在圆柱形域中具有混合（迪里希特和诺伊曼）边界条件的广义 p-Laplace 算子的第一个特征函数的渐近行为。这概括了 Chipot 等人的早期研究成果（Asymptot.Anal.85(3-4) (2013) 199-227）的研究，其中研究了 p=2 的线性情况。此外，还研究了线性情况下所有高特征值的渐近行为，以及一般情况下的第二特征值（使用拓扑度）。

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Nonlinear elliptic eigenvalue problems in cylindrical domains becoming unbounded in one direction

The aim of this work is to characterize the asymptotic behaviour of the first eigenfunction of the generalised p-Laplace operator with mixed (Dirichlet and Neumann) boundary conditions in cylindrical domains when the length of the cylindrical domains tends to infinity. This generalises an earlier work of Chipot et al. (Asymptot. Anal. 85(3–4) (2013) 199–227) where the linear case p=2 is studied. Asymptotic behavior of all the higher eigenvalues of the linear case and the second eigenvalues of general case (using topological degree) for such problems is also studied.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.