Sha Huang
In this paper, the author discusses generalized biregular function on bi domains in Clifford analysis. Firstly the Plemelj's formula is obtained and then considers the nonlinear boundary value problem: A(t 1, t 2)W ++ (t 1,t 2) +B(t 1, t 2) W +- (t 1,t 2) +C (t 1, t 2) W -+ (t 1,t 2) +D(t 1, t 2)W -- (t 1,t 2)=g(t 1,t 2) f t 1, t 2 , W ++ (t 1,t 2) ,W +- (t 1,t 2), W -+ (t 1,t 2) , W -- (t 1,t 2)).Applying the method of integral equations and Schauder fixed point theorem, the existence of solution for above problem is proved.