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

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  • Shahroud Azami

    (Imam Khomeini International University)

Abstract

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.

Suggested Citation

  • Shahroud Azami, 2025. "Evolution of eigenvalue of the Wentzell-Laplace operator along the geodesic curvature flow," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(2), pages 477-488, June.
    • Handle: RePEc:spr:indpam:v:56:y:2025:i:2:d:10.1007_s13226-023-00493-0
    DOI: 10.1007/s13226-023-00493-0
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    Keywords

    53E20; 53C40; 58C40; 35P15;
    All these keywords.

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