Summary
We derive bounds for the firstN eigenvalues of a linear second-order elliptic differential operator on a bounded domain, subject to mixed boundary conditions. The results are achieved by a combination of (a generalized version of) Kato's estimates and a homotopy algorithm.
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Plum, M. Bounds for eigenvalues of second-order elliptic differential operators. Z. angew. Math. Phys. 42, 848–863 (1991). https://doi.org/10.1007/BF00944567
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DOI: https://doi.org/10.1007/BF00944567