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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.

About the authors

I. L. Pokrovski

Bauman Moscow State Technical University

Author for correspondence.
Email: pokrovski.ilia@yandex.ru
Russian Federation, Moscow, 105005

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