Abstract:
In the 3D space, a boundary value problem for an elliptic equation on a two-dimensional complex is considered. The Dirichlet condition is set on the boundary of a two-dimensional complex. Within the framework of the functional-theoretic approach, this problem is reduced to a non-local Riemann boundary value problem. The solution of the problem is sought in Helder spaces with weight. The Fredholm solvability of the Dirichlet problem on a two-dimensional complex is proved in the article. The index for the formulated problem is calculated.
Keywords:dirichlet problem, two-Dimensional complex, riemann problem, index of the problem, helder space with weight.
