Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the β–analytic function theory

Perturbed Dirac Operators and Boundary Value Problems

“…From (17), the operator M is a contraction operator mapping the Banach space C 0,α (∂Ω) into itself. Then the operator M has a unique fixed point.…”

“…where u(x) and g(x) are Clifford value functions in C 0,α (∂Ω), 0 < α < 1. Under the condition (17), The problem (20) has a unique solution.…”

“…The kind of partial differential equations in bounded domains of R 3 and associated to boundary value problems in Clifford analysis have been studied. We refer to [2][3][4]9,10,[16][17][18][19][20][21][22][23][24][25][26][27][28]. Especially, L. Gu, J.…”