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Eigenvalue Problem for the Laplace Operator with Nonlocal Boundary Conditions

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Abstract

The suggested approach to maximizing the difference between the first and second eigenvalues of the Laplace operator is based on the introduction of nonlocal boundary conditions of a special form. It is shown that the difference can be arbitrarily large.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, 105005, Russia

    I. L. Pokrovski

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  1. I. L. Pokrovski
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Correspondence to I. L. Pokrovski.

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Original Russian Text © I.L. Pokrovski, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 10, pp. 1391–1398.

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Pokrovski, I.L. Eigenvalue Problem for the Laplace Operator with Nonlocal Boundary Conditions. Diff Equat 54, 1363–1370 (2018). https://doi.org/10.1134/S0012266118100075

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  • DOI: https://doi.org/10.1134/S0012266118100075

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