Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case
Journal article, 2021
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.
singular measures
eigenvalues
Author
Grigori Rozenblioum
Saint Petersburg State University - Spsu
Euler International Mathematical Institute
Chalmers, Mathematical Sciences
E. M. Shargorodsky
King's College London
Functional Analysis and its Applications
0016-2663 (ISSN) 1573-8485 (eISSN)
Vol. 55 2 170-173Subject Categories
Algebra and Logic
Geometry
Mathematical Analysis
DOI
10.1134/S001626632102009X