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中文摘要：
讨论了Clifford分析中无界域上正则函数带共轭值带位移的非线性边值问题．首先引入了无界域上正则函数的Plemelj公式，然后利用积分方程的方法和Schauder不动点理论证明了该非线性边值问题解的存在性，并给出了其积分表达式．
英文摘要：
Investigated a nonlinear boundary value problem with conjugate for regular functions on unbounded domains in real Clifford analysis, the boundary condition of which is as follows ： First, the Plemelj formula for regular functionson unbounded domains was introduced, then with the help of integral equations and the Schauder fixed point theorem, the existence of a solution for this problem is proved and the integral expression of the solution is given.
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