Samko, Stefan2018-12-072018-12-072011-031311-0454http://hdl.handle.net/10400.1/11661We show that a certain axisymmetric hypersingular integral equation arising in problems of cracks in the elasticity theory may be explicitly solved in the case where the crack occupies a plane circle. We give three different forms of the resolving formula. Two of them involve regular kernels, while the third one involves a singular kernel, but requires less regularity assumptions on the the right-hand side of the equation.engjournal article10.2478/s13540-011-0003-y