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ON A BOUNDARY VALUE PROBLEM FOR AN ELLIPTIC-TYPE EQUATION WITH THREE SINGULAR COEFFICIENTS IN A DOMAIN BOUNDED BY TWO PLANES IN THE FIRST OCTANT

K.T. KarimovFerghana State UniversityM.R. MurodovaV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences

Челябинский физико-математический журналjournal2026

ABI

Annotatsiya

The paper investigates a Dirichlet-type boundary value problem for a three-dimensional elliptic equation with three singular coefficients in a domain bounded by two parallel planes in the first octant. The unique solvability of the stated problem in the class of regular solutions is established. The uniqueness of a solution is proved using the method of energy integrals. To prove the existence of a solution, the Hankel integral transform method is employed.

Mavzular

Differential Equations and Boundary Problems Algebraic and Geometric Analysis Nonlinear Partial Differential Equations

Identifikatorlar

DOI: 10.47475/2500-0101-2026-11-1-33-45

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