| 摘 要： | If G is a bounded domain in the plane R~2, Its boundary consists of a line segment 0,1] in x-axis anda smooth curve which lies upper half plane. Tian Maoying studied the following non-linear degenerate ellip-tic equation of second orderand proved that some boundary value problems of equation (1) and (2) have a unique solution.Wen Guochun discussed some boundary value problem for elliptic system of first order equations in thedomainThis paper makes a deeper study about the degenerate elliptic equation. Utilizing the qualities of four-
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