Nonlinear half-dirichlet problems for first order elliptic equations in the unit ball of R^m(m≥3)

Abstract

On the basis of an a priori estimate for solutions of a linear half-Dirichlet problem in the unit ball first order equations with the Di-rac operator as principal part for Clifford algebravalued functions an existence and uniqueness result is proved for a related nonlinear problemAn approximation procedure is used and an error estimate given.

Keywords:

• Dirichlet problem
• Fredholm theorem

AMS:

• 35J99
• 31B35

This research of the second named author was supported by the Frieie Universitat Berlin through a guest professorship in 1989/90.

This research of the second named author was supported by the Frieie Universitat Berlin through a guest professorship in 1989/90.

Notes

This research of the second named author was supported by the Frieie Universitat Berlin through a guest professorship in 1989/90.