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Estimates for the eigenvalues of the robin problem for large parameter values

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Abstract

We study the behavior of the eigenvalues of the Robin problem as functions of the parameter in the boundary condition. We establish estimates for the difference between the eigenvalues of the Dirichlet problem and the Robin problem for large parameter values.

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References

  1. Sperb, R., Untere und obere Schranken für den tiefsten Eigenwert elastisch gestützen Membran, Z. Angew. Math. Phys., 1972, vol. 23, no. 2, pp. 231–244.

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  2. Filinovskii, A.V., The Asymptotic Behavior of the First Eigenvalue of the Robin Problem, Differ. Uravn., 2011, vol. 47, no. 11, pp. 1659–1660.

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, Russia

    A. V. Filinovskii

  2. Moscow State University, Moscow, Russia

    A. V. Filinovskii

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  1. A. V. Filinovskii
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Correspondence to A. V. Filinovskii.

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Original Russian Text © A.V. Filinovskii, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 11, pp. 1567–1568.

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Filinovskii, A.V. Estimates for the eigenvalues of the robin problem for large parameter values. Diff Equat 50, 1570–1571 (2014). https://doi.org/10.1134/S0012266114110214

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  • DOI: https://doi.org/10.1134/S0012266114110214

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