Geodesic
On the asymptotic distribution of the eigenvalues of degenerating elliptic equations of second order
Sbornik. Mathematics, Tome 15 (1971) no. 1, pp. 75-87 
V. N. Tulovskii. On the asymptotic distribution of the eigenvalues of degenerating elliptic equations of second order. Sbornik. Mathematics, Tome 15 (1971) no. 1, pp. 75-87. http://geodesic.mathdoc.fr/item/SM_1971_15_1_a3/
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     author = {V. N. Tulovskii},
     title = {On the asymptotic distribution of the eigenvalues of degenerating elliptic equations of second order},
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     volume = {15},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_15_1_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $P$ be a differential operator of the form $$ P=-\sum_{i,j=1}^n\frac\partial{\partial x_i}\biggl(a_{ij}(x)\varphi(x)\frac\partial{\partial x_j}\biggr)+a_0(x) $$ in the domain $G\subseteq\mathbf R^n$ which has smooth boundary. The asymptotic distribution of the eigenvalues of this operator is studied in this paper. Under certain conditions on $\varphi(x)$ and $a_{ij}(x)$, lower and upper estimates for the number of eigenvalues of $P$ are obtained. Bibliography: 2 titles.

[1] M. S. Baouendi, C. Goulaouic, “Régularite et théorie spectrale pour une classe d'operateurs elliptique dégénérés”, Arch. Rational Mech. and Anal., 34:5 (1969), 361–379 | DOI | MR | Zbl

[2] I. N. Glazman, Pryamye metody kachestvennogo spektralnogo analiza singulyarnykh differentsialnykh operatorov, Fizmatgiz, Moskva, 1963