On some integral equations on a surface with a conical point (Q2480492)

The author considers an integral equation \[ \varphi(x) -\sigma \int_S K(x,y)\varphi(y) dS_y = f(x) \] with a singular kernel \(K\) and a conical surface \(S\). The results are quite complicate. The author claims that by using his results one can study the Dirichlet and Neumann boundary value problem for the Laplace equation and the main boundary value problems of the three-dimensional theory of elasticity on a surface with a conical point.