Geodesic
Spectral asymptotics of elliptic strongly degenerate operators of arbitrary order
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 25-30

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We compute the principal term of the spectral asymptotics for elliptic operators of an arbitrary order which is degenerate at the boundary of the domain. The degree of the degeneracy is such that the order of the decrease of the eigenvalues of the boundary-value problems is different from the classical one and the asymptotic coefficient depends on the form of the boundary conditions (strong degeneracy). 
@article{ZNSL_1976_59_a1,
     author = {I. L. Vulis},
     title = {Spectral asymptotics of elliptic strongly degenerate operators of arbitrary order},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {25--30},
     publisher = {mathdoc},
     volume = {59},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a1/}
}
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I. L. Vulis. Spectral asymptotics of elliptic strongly degenerate operators of arbitrary order. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 9, Tome 59 (1976), pp. 25-30. http://geodesic.mathdoc.fr/item/ZNSL_1976_59_a1/