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Eigenvalue estimate for the Laplace operator on Finsler manifold with weighted Ricci curvature | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 6، شماره 1، 2025، صفحه 36-47 اصل مقاله (317.3 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.15867.1137 | ||
| نویسندگان | ||
| Sakineh Hajiaghasi* 1؛ Shahroud Azami2 | ||
| 1Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran. | ||
| 2Department of pure mathematics, Faculty of sciences, Imam Khomeini International University, Qazvin, Iran. | ||
| چکیده | ||
| In this paper, we study about the rst eigenvalue of the bi-Laplace operator on Finsler manifolds. Considering a bounded weighted Ricci curvature on a complete Finsler manifold, we obtain an upper bound for the first eigenvalues of Buckling and Clamped plate problems related with the first eigenvalue of the laplace operator. | ||
| کلیدواژه‌ها | ||
| Eigenvalue problem؛ Finsler manifold؛ Weighted Ricci curvature | ||
| مراجع | ||
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