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 Mat. Zametki, 1977, Volume 22, Issue 1, Pages 117–128 (Mi mz8031)

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.

Full text: PDF file (832 kB)

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

Bibliographic databases:

UDC: 517.9

Citation: A. A. Amosov, “A positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type”, Mat. Zametki, 22:1 (1977), 117–128; Math. Notes, 22:1 (1977), 555–561

Citation in format AMSBIB
\Bibitem{Amo77} \by A.~A.~Amosov \paper A~positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type \jour Mat. Zametki \yr 1977 \vol 22 \issue 1 \pages 117--128 \mathnet{http://mi.mathnet.ru/mz8031} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=466956} \zmath{https://zbmath.org/?q=an:0355.35026} \transl \jour Math. Notes \yr 1977 \vol 22 \issue 1 \pages 555--561 \crossref{https://doi.org/10.1007/BF01147699}