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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2024 Volume 166, Book 2, Pages 173–186 (Mi uzku1659)

Mixed boundary value problem for a monotone equation with a lower order term and point sources on the right side

O. A. Zadvornov, G. O. Trifonova

Kazan Federal University, Kazan, 420008 Russia

Abstract: 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, point source, additive extraction.

UDC: 519.63

Received: 15.05.2024
Accepted: 23.05.2024

DOI: 10.26907/2541-7746.2024.2.173-186



© Steklov Math. Inst. of RAS, 2025