RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1977 Volume 22, Issue 1, Pages 117–128 (Mi mzm8031)

This article is cited in 7 papers

A positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type

A. A. Amosov

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 517.9

Received: 13.07.1976


 English version:
Mathematical Notes, 1977, 22:1, 555–561

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026