11 citations · 30 across the 15 of their papers we have counts for
6 papers · 1 filter
The Dirichlet problem for a non-commutative elliptic operator in the ball
A. Moreno García, D. Alfonso Santiesteban, R. Abreu Blaya
In this paper we establish a necessary and sufficient condition for the solvability of the Dirichlet problem in the unit ball for the second order system $\partial_{\u…
Hardy decomposition of first order Lipschitz functions by Lamé-Navier solutions
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Daniel Alpay
The Clifford algebra language allows us to rewrite the Lamé-Navier system in terms of the Euclidean Dirac operator. In this paper, the main question we shall be concerned with is w…
Constructing steering-type solutions for higher order Cauchy-Riemann equations in
Daniel Alfonso Santiesteban, Dixan Peña Peña, Ricardo Abreu Blaya
The multidimensional Cauchy-Riemann operator provides a framework for studying higher order partial differential equations in , whose solutions include polymonoge…
Jump problem for generalized Lamé-Navier systems in
Daniel Alfonso Santiesteban, Ricardo Abreu Blaya, Daniel Alpay
This paper is devoted to study a fundamental system of equations in Linear Elasticity Theory: the famous Lamé-Navier system. The Clifford algebra language allows us to rewrite this…
Generalizations of harmonic functions in
Daniel Alfonso Santiesteban, Yudier Peña Pérez, Ricardo Abreu Blaya
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 val…
On a Riemann-Hilbert boundary value problem for -harmonic functions in
José Luis Serrano Ricardo, Ricardo Abreu Blaya, Juan Bory Reyes +1
The purpose of this paper is to solve a kind of Riemann-Hilbert boundary value problem for -harmonic functions, which are linked with the use of two orthogonal basis of the…