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Dal'nevostochnyi Matematicheskii Zhurnal, 2024, Volume 24, Number 2, Pages 259–267
DOI: https://doi.org/10.47910/FEMJ202423 (Mi dvmg549) 		 
Analysis of semilinear elliptic boundary value problem and its applications

A. A. Pishchikov, A. Yu. Chebotarev

Far Eastern Center of Mathematical Research, Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202423
Abstract: A stationary model of the reaction-diffusion type in a three-dimensional domain is considered. Sufficient conditions for the existence and uniqueness of a weak solution to the posed boundary value problem are found. As an example, diffusion models of complex heat exchange and oxygen transfer in biological tissues are considered.
Key words: stationary diffusion-reaction models, weak solution, unique solvability, radiative heat transfer equations.
Funding agency Grant number
Russian Science Foundation 23-21-00087
The study was supported by the Russian Science Foundation grant No. 23-21-00087.
Received: 14.03.2024
Accepted: 18.11.2024
Document Type: Article
UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79
Language: Russian
Citation: A. A. Pishchikov, A. Yu. Chebotarev, “Analysis of semilinear elliptic boundary value problem and its applications”, Dal'nevost. Mat. Zh., 24:2 (2024), 259–267
Citation in format AMSBIB
\Bibitem{PisChe24}
\by A.~A.~Pishchikov, A.~Yu.~Chebotarev
\paper Analysis of semilinear elliptic boundary value problem and its applications
\jour Dal'nevost. Mat. Zh.
\yr 2024
\vol 24
\issue 2
\pages 259--267
\mathnet{http://mi.mathnet.ru/dvmg549}
\crossref{https://doi.org/10.47910/FEMJ202423}
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