On the Saponjyan paradox in the theory of thin plates
Taking a problem on bending of simply-supported polygonal Kirchoff plate as an example, it is shown that a reformulation of the boundary-value problem in terms of potentials may lead to a complete change in the solution. An approach based on self-adjoint extensions of operators can improve the situation.
Serguei Nazarov, St. Petersburg University, Russia
July 13, 2001