Geodesic
Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 2, pp. 113-117 
G. V. Rozenblum; E. M. Shargorodskii. Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 2, pp. 113-117. http://geodesic.mathdoc.fr/item/FAA_2021_55_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

e find that, in the critical case $2l={\mathbf N}$, the eigenvalues of the problem $\lambda(-\Delta)^{l}u=Pu$ with the singular measure $P$ supported on a compact Lipschitz surface of an arbitrary dimension in $\R^{\Nb}$ satisfy an asymptotic formula of the same order as in the case of an absolutely continuous measure.

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