Geodesic
The asymptotic distribution of eigenvalues of boundary problem for spherical domain
Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 162-169

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Asymptotic formula with two regular members for the distribution function of eigenvalues of boundary problem $\Delta U+\lambda U= 0$, $\frac{\partial u}{\partial n}+\sigma u=0$ is obtained for spherical domain. 
@article{DVMG_2010_10_2_a5,
     author = {L. V. Marchenko},
     title = {The asymptotic distribution of eigenvalues of boundary problem for spherical domain},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {162--169},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a5/}
}
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L. V. Marchenko. The asymptotic distribution of eigenvalues of boundary problem for spherical domain. Dalʹnevostočnyj matematičeskij žurnal, Tome 10 (2010) no. 2, pp. 162-169. http://geodesic.mathdoc.fr/item/DVMG_2010_10_2_a5/