A Nonlinear Boundary Value Problem with Haseman Shift for Isotonic Function in Clifford Analysis

In this paper, we discuss a class of nonlinear boundary value problem with conjugate value and haseman shift for Isotonic function in Euclidean space of even dimension with values in a complex Clifford algebra. Isotonic function is solution of the equation*. We give some integral operators and transform the problem into an integral equation problem. The properties of these integral operators are studied. Applying Schauder fixed-point theorem, we prove the existence of solution for the problem, and give the representation of solution：*(* Indicates a formula, please see the full text)