具有高奇性的Riemann-Hilbert边值问题

RIEMANN HILBERT BOUNDARY VALUE PROBLEM WITH HIGH ORDER SINGULARITIES

讨论边界条件具有高奇性的解析函数的Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ边值问题．

This paper mainly deals with the resovability of Riemann Hilbert boundary value problem for nonlinear elliptic systems of first order,where the boundary condition is with high order singularities. First Schwarz formula with high order singularities are given by introducing Hadamard principal value and five operaters,and by using above formula,and then the representatives of solutions and the numbers of resovable conditions have heen obtained.