Singularities of rotationally symmetric solutions of boundary value problems for the Lamé equations

Adam Edward Beagles & Anna-Margarete Sändig
We apply the theory of elliptic boundary value problems in non-smooth domains with conical points to rotationally symmetric solutions of boundary value problems for the Lamé equations. The resulting expansion involves singular vector-functions which, in turn, depend on a parameter, α. We here present equations which determine the values of α for either stress-free or Dirichlet boundary conditions. We give a numerical algorithm whereby α can be computed and present some plots of the values...
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