Applying the potential method to solving main boundary-value problems for a degenerate elliptic equation

详细

Fundamental solutions of a degenerate elliptic equation are found. Potentials of the double-layer type and single-layer type are constructed by means of fundamental solutions. Main boundary-value problems for a degenerate elliptic equation are reduced to equivalent Fredholm integral equations of the second kind. The solvability of the said integral equations is proved.