C. Constanda, ON NONUNIQUE SOLUTIONS OF WEAKLY SINGULAR INTEGRAL-EQUATIONS IN PLANEELASTICITY, Quarterly Journal of Mechanics and Applied Mathematics, 47, 1994, pp. 261-268
A unique constant matrix is constructed for each smooth boundary curve
, which generalizes the concept of logarithmic capacity and indicates
when the Dirichlet problem of plane elasticity cannot be solved by mea
ns of integral equations of the first kind.