A KIND OF RIEMANN BOUNDARY VALUE PROBLEM FOR TRIHARMONIC FUNCTIONS IN CLIFFORD ANALYSIS

In this article, we mainly deal with the boundary value problem for triharmonic function with value in universal Clifford algebra: where (j = 1, … , 5) ∂Ω is a Liapunov surface in Rⁿ, the Dirac operator are unknown functions with values in an universal Clifford algebra Cl(V_n,n). Under some hypotheses, it is proved that the boundary value problem has a unique solution.