Geodesic
Mixed boundary value problem for a monotone equation with a lower order term and point sources on the right side
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 2, pp. 173-186

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The existence of a solution to the mixed boundary value problem for a quasilinear equation with a lower order term and point sources on the right side was proved. The solution was obtained in an additive form, and the features associated with point sources were clearly highlighted. The approach used in the proof can serve as a basis for a method of solving this type of problem.
Keywords: nonlinear boundary value problem, additive extraction.
Mots-clés : point source 
@article{UZKU_2024_166_2_a3,
     author = {O. A. Zadvornov and G. O. Trifonova},
     title = {Mixed boundary value problem for a monotone equation with a lower order term and point sources on the right side},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {173--186},
     publisher = {mathdoc},
     volume = {166},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2024_166_2_a3/}
}
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O. A. Zadvornov; G. O. Trifonova. Mixed boundary value problem for a monotone equation with a lower order term and point sources on the right side. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 2, pp. 173-186. http://geodesic.mathdoc.fr/item/UZKU_2024_166_2_a3/