Evolution of eigenvalue of the Wentzell-Laplace operator along the geodesic curvature flow

被引：1

作者：

Azami, Shahroud ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年

关键词：

Eigenvalues; Wentzell-Laplace operator; Geodesic curvature flow; Conformal; 1ST EIGENVALUES; GEOMETRIC OPERATORS; YAMABE PROBLEM; BOUNDARY; EXISTENCE; MANIFOLDS; SURFACES;

D O I：

10.1007/s13226-023-00493-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study continuity, differentiability and monotonicity for the first nonzero eigenvalue of the Wentzell-Laplace operator along the geodesic curvature flow on two-dimensional compact manifolds with boundary. In especial, we show that the first nonzero eigenvalue of the Wentzell-Laplace operator is monotonic under the geodesic curvature flow and we find some monotonic quantities dependent to the first nonzero eigenvalue along the geodesic curvature flow.

引用

页数：12

共 40 条

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