Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 23-39
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M. Sh. Birman; M. Z. Solomyak. Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 23-39. http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a2/
@article{ZNSL_1982_115_a2,
author = {M. Sh. Birman and M. Z. Solomyak},
title = {Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {23--39},
year = {1982},
volume = {115},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a2/}
}
TY - JOUR
AU - M. Sh. Birman
AU - M. Z. Solomyak
TI - Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 23
EP - 39
VL - 115
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a2/
LA - ru
ID - ZNSL_1982_115_a2
ER -
%0 Journal Article
%A M. Sh. Birman
%A M. Z. Solomyak
%T Asymptotic behavior of the spectrum of variational problems on the solutions of elliptic systems
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 23-39
%V 115
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a2/
%G ru
%F ZNSL_1982_115_a2
One computes the principal term of the asymptotics of the spectrum of variational problems of the form $B[u]/A[u]$ considered on the solutions of elliptic systems $Lu=0$ on a compact manifold with boundary. Previously, the corresponding result has been obtained by the authors under the additional condition of the existence of an elliptic boundary problem for the operator $L$. Now this restriction is removed.
