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Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case

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G. V. Rozenblum, E. M. Shargorodsky

Original languageEnglish
Pages (from-to)170-173
Number of pages4
JournalFunctional Analysis and its Applications
Volume55
Issue number2
DOIs
Accepted/In press15 Dec 2020
PublishedApr 2021

Bibliographical note

Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

King's Authors

Abstract

Abstract: We find that, in the critical case (Formula presented.), the eigenvalues of the problem (Formula presented.) with the singular measure P supported on a compact Lipschitz surface of an arbitrary dimension in (Formula presented.) satisfy an asymptotic formula of the same order as in the case of an absolutely continuous measure.

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