Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 227, pp. 1-10.

Title: Weak solutions for A-Dirac equations with variable growth
       in Clifford analysis
        
Authors: Binlin Zhang (Harbin Institute of Tech., China)
         Yongqiang Fu (Harbin Institute of Tech., China)

Abstract:
 In this article we show the existence of weak solutions for
 obstacle problems for A-Dirac equations with variable growth in
 the setting of variable exponent spaces of Clifford-valued
 functions. We also obtain the existence of weak solutions to the
 scalar part of A-Dirac equations in space
 $W_0^{1,p(x)}(\Omega,C\ell_n)$.


Submitted November 18, 2012. Published December 17, 2012.
Math Subject Classifications: 30G35, 35J60, 35D30, 46E35.
Key Words: Clifford analysis; variable exponent; 
           A-Dirac equation;  obstacle problem.