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Mathematical notes of NEFU, 2025, Volume 32, Issue 1, Pages 90–91 (Mi svfu442)

Mathematical modeling

Modified problem for a degenerate elliptic system

A. M. Abdrakhmanov, R. P. Abdrakhmanova

Ufa University of Science and Technology

Abstract: The Dirichlet problem is considered, for which it is proved that it is solvable in the class of bounded functions, and regular solutions in the formulation under consideration are obtained.

Keywords: Dirichlet problem, degenerate elliptic system, solution regular in the domain under consideration

UDC: 517.956.6

DOI: 10.25587/2411-9326-2025-1-90-91



© Steklov Math. Inst. of RAS, 2026