In the framework of Clifford analysis, we study a second‐order elliptic (generally nonstrongly
elliptic) system of partial differential equations of the form: ν∂ x _ f ϑ∂ x _= 0 &# …

Harmonic functions are the solutions of the second-order partial differential equation∂ x ̲∂
x ̲ u= 0, where∂ x ̲ stands for the Dirac operator factorizing the Laplacian in R m. In this …

In this paper we study the Dirichlet problem in the ball for the so-called inframonogenic
functions, ie the solutions of the sandwich equation∂ x _ f∂ x _= 0, where∂ x _ stands for …

Solutions of the sandwich equation^ ϕ\! ∂ f^ ψ\! ∂= 0 ϕ∂ ̲ f ψ∂ ̲= 0, where^ ϕ\! ∂ ϕ∂
̲ stands for the Dirac operator with respect to a structural set ϕ ϕ, are referred to as (ϕ …

This paper deals with the inframonogenic functions which are solutions of the sandwich
equation D f D= 0, where D is the Dirac operator in R n. The inframonogenic functions plays …

Euclidean Clifford analysis has become a well‐established theory of monogenic functions in
higher‐dimensional Euclidean space with a variety of applications both inside and outside …

The aim of this paper is to establish a representation formula for the null solutions of some
higher order Dirac operator, which particularly will be recognized as an iterated Lamé …

In recent works, arbitrary structural sets in the non-commutative Clifford analysis context
have been used to introduce non-trivial generalizations of harmonic Clifford algebra valued …

Let Ω⊂ ℝ m Ω ⊂ R^ m be a bounded regular domain, let∂ x _ ∂ _\_ x be the standard
Dirac operator in ℝ m R^ m, and let ℝ 0, m R _ 0, m be the Clifford algebra constructed over …

A Cauchy integral formula for (p, q)-monogenic functions with α-weight Page 1 Appl. Math. J.
Chinese Univ. 2024, 39(3): 545-553 A Cauchy integral formula for (p, q)-monogenic functions …