Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case

DOI10.1134/S001626632102009XzbMath1478.35158OpenAlexW3212321843MaRDI QIDQ2246835

E. M. Shargorodsky, Grigori Rozenblum

Publication date: 16 November 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001626632102009x

zbMATH Keywords

asymptotic formulasingular measures

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Higher-order elliptic equations (35J30) PDEs on manifolds (35R01) PDEs with measure (35R06)

Related Items (5)

Eigenvalues of singular measures and Connes' noncommutative integration ⋮ Spectral estimates and asymptotics for integral operators on singular sets ⋮ Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case ⋮ Lieb-Thirring estimates for singular measures ⋮ Eigenvalues of the Birman-Schwinger operator for singular measures: the noncritical case

Cites Work

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• On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials
• Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1
• Spectral Asymptotics for Nonsmooth Singular Green Operators
• Sobolev Spaces

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