Solution of the nonlinear equation of a divergent type in the corner   point domain
  The algorithm for generation of exact solutions of the nonlinear equation in partial derivatives of a divergent type which is included in the formulation of magnetostatics, hydro-and aerodynamics, quantum mechanics (stationary Schr\"odinger equation) has been suggested. The properties of smoothness of solutions in domains with corner points (piecewise smooth boundary) have been considered. The solutions with unlimited derivatives in the corner point domain have been presented on the basis of a new class of special functions. 
E.E. Perepelkin, B.I. Sadovnikov, N.G. Inozemtseva
math-ph math.MP