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New Bounds on Eigenvualues of Laplacian

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In this paper, we investigate non-zero positive eigenvalues of the Laplacian with Dirichlet boundary condition in an n-dimentional Euclidean space ℝn, then we obtain an new upper bound of the… Click to show full abstract

In this paper, we investigate non-zero positive eigenvalues of the Laplacian with Dirichlet boundary condition in an n-dimentional Euclidean space ℝn, then we obtain an new upper bound of the (k + 1)-th eigenvalue λk+1, which improve the previous estimate which was obtained by Cheng and Yang, see (1.8).

Keywords: bounds eigenvualues; new bounds; eigenvualues laplacian

Journal Title: Acta Mathematica Scientia
Year Published: 2019

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