A~positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 117-128.

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

The problem for an elliptic equation with a nonlinear integral boundary condition describing, in particular, a stationary radiative heat transfer according to the Stefan–Boltzmann law in a system of blackbodies is considered. Theorems about the existence, uniqueness, and stability of the positive generalized solution are established.
@article{MZM_1977_22_1_a12,
     author = {A. A. Amosov},
     title = {A~positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {117--128},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a12/}
}
TY  - JOUR
AU  - A. A. Amosov
TI  - A~positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type
JO  - Matematičeskie zametki
PY  - 1977
SP  - 117
EP  - 128
VL  - 22
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a12/
LA  - ru
ID  - MZM_1977_22_1_a12
ER  - 
%0 Journal Article
%A A. A. Amosov
%T A~positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type
%J Matematičeskie zametki
%D 1977
%P 117-128
%V 22
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a12/
%G ru
%F MZM_1977_22_1_a12
A. A. Amosov. A~positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 117-128. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a12/