Geodesic
Quasi-Weyl asymptotics of the spectrum in the Dirichlet problem
Sbornik. Mathematics, Tome 197 (2006) no. 2, pp. 153-171 Cet article a éte moissonné depuis la source Math-Net.Ru

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A spectral problem of Dirichlet type \begin{gather*} \sum_\alpha D^\alpha a_\alpha D^\alpha u=\mu^{-1}pu, \\ a_\alpha(x)\geqslant c_0>0, \qquad p(x)\in\mathbb R, \qquad x\in\Omega\subset\mathbb R^m, \end{gather*} where $\Omega$ is a bounded set, is considered. All the natural generalizations of the classical Weyl's spectral asymptotic formula are described. The main property of these generalizations is as follows: the leading term of the asymptotic formula is an additive function of the set $\Omega$. Bibliography: 6 titles. 
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A. S. Andreev. Quasi-Weyl asymptotics of the spectrum in the Dirichlet problem. Sbornik. Mathematics, Tome 197 (2006) no. 2, pp. 153-171. http://geodesic.mathdoc.fr/item/SM_2006_197_2_a1/

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