Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 117-128
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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/
@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},
year = {1977},
volume = {22},
number = {1},
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
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
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a12/
%G ru
%F MZM_1977_22_1_a12
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.
