∂¯‐problem for a second‐order elliptic system in Clifford analysis

Abstract

In the framework of Clifford analysis, we study a second‐order elliptic (generally nonstrongly elliptic) system of partial differential equations of the form: , where stands for the Dirac operator with respect to a structural set . The solutions of this system are known as ‐inframonogenic functions. Our main purpose is to describe necessary and sufficient conditions for the solvability of a ‐problem associated with the sandwich operator .