In this paper we consider the Dirichlet problem for an elliptic equation with a singular coefficient. Under certain restrictions on the boundary of the domain and the coefficients of the equation, the uniqueness of the solution in the class of functions whose trace is representable as the sum of a Fourier series and the existence of a solution of the posed problem are proved.
elliptic equation, Dirichlet problem, singular equations, boundary value problems, Fourier
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