Geodesic
Analysis of semilinear elliptic boundary value problem and its applications
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 259-267

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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. 
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A. A. Pishchikov; A. Yu. Chebotarev. Analysis of semilinear elliptic boundary value problem and its applications. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 2, pp. 259-267. http://geodesic.mathdoc.fr/item/DVMG_2024_24_2_a9/