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 .

中文翻译：

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Clifford 分析中的二阶椭圆系统问题

在 Clifford 分析的框架中，我们研究了二阶椭圆（通常是非强椭圆）偏微分方程组，其形式为： ，其中代表关于结构集 的狄拉克算子。该系统的解被称为-下单生成函数。我们的主要目的是描述解决与三明治算子相关的问题的必要和充分条件。