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Two new Weyl-type bounds for the Dirichlet Laplacian

By Lotfi Hermi


Abstract. In this paper, we prove two new Weyl-type upper estimates for the eigenvalues of the Dirichlet Laplacian. As a consequence, we obtain the following lower bounds for its counting function. For λ ≥ λ1, one has N(λ)> 2 n +

Year: 2013
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