Eigenvalue estimate for the Laplace operator on Finsler manifold with weighted Ricci curvature

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.

کلیدواژه ها:

Eigenvalue problem ، Finsler manifold ، weighted Ricci curvature