Geodesic
Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 4, pp. 54-64

Voir la notice de l'article provenant de la source Math-Net.Ru

The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference $N_\mathrm{N}(\lambda)-N_\mathrm{D}(\lambda)$ of counting functions are discussed.
Keywords: Dirichlet and Neumann eigenvalues, counting function, boundary value problem. 
@article{FAA_2010_44_4_a4,
     author = {Yu. G. Safarov and N. D. Filonov},
     title = {Asymptotic {Estimates} of the {Difference} {Between} the {Dirichlet} and {Neumann} {Counting} {Functions}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {54--64},
     publisher = {mathdoc},
     volume = {44},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2010_44_4_a4/}
}
TY  - JOUR
AU  - Yu. G. Safarov
AU  - N. D. Filonov
TI  - Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2010
SP  - 54
EP  - 64
VL  - 44
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2010_44_4_a4/
LA  - ru
ID  - FAA_2010_44_4_a4
ER  - 
%0 Journal Article
%A Yu. G. Safarov
%A N. D. Filonov
%T Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2010
%P 54-64
%V 44
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2010_44_4_a4/
%G ru
%F FAA_2010_44_4_a4
Yu. G. Safarov; N. D. Filonov. Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 4, pp. 54-64. http://geodesic.mathdoc.fr/item/FAA_2010_44_4_a4/