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

G. V. Rozenblum; E. M. Shargorodsky

doi:10.1134/S001626632102009X

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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 language	English
Pages (from-to)	170-173
Number of pages	4
Journal	Functional Analysis and its Applications
Volume	55
Issue number	2
DOIs	https://doi.org/10.1134/S001626632102009X
Accepted/In press	15 Dec 2020
Published	Apr 2021
Additional links	Link to publication in Scopus

Bibliographical note

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E. M. Shargorodsky (Mathematics, Analysis)

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

Bibliographical note

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Abstract

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