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Asymptotics of the spectra of variational problems on the solutions of an elliptic equation in a domain with a piecewise-smooth boundary

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Abstract

In a bounded domain with a piecewise-smooth boundary one considers the ratio of differential quadratic forms on the solutions of a homogeneous, strongly elliptic equation. One obtains the principal term of the asymptotics of the spectrum of the compact operator defined by this ratio.

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Authors
  1. T. A. Suslina
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 179–183, 1985.

The author is sincerely grateful to M. Sh. Birman for guidance.

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Suslina, T.A. Asymptotics of the spectra of variational problems on the solutions of an elliptic equation in a domain with a piecewise-smooth boundary. J Math Sci 37, 902–905 (1987). https://doi.org/10.1007/BF01387730

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  • DOI: https://doi.org/10.1007/BF01387730

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