Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 46, pp. 1-20.

Title: A unique continuation property for linear elliptic systems and
       nonresonance problems
        
Authors: A. Anane (Univ. Mohamed 1, Oujda, Maroc)
 O. Chakrone (Univ. Mohamed 1, Oujda, Maroc)
 Z. El Allali (Univ. Mohamed 1, Oujda, Maroc)
 I. Hadi (Univ. Mohamed 1, Oujda, Maroc)

Abstract:  
 The aim of this paper is to study the existence of solutions for a
 quasilinear elliptic system  where the nonlinear term is a Caratheodory
 function on a bounded domain of $\mathbb{R}^N$, by proving the well 
 known unique continuation property for elliptic system in all dimensions:
 1, 2, 3, ... and the strict monotonocity of eigensurfaces.
 These properties let us to consider the above problem as a nonresonance
 problem.
  
Submitted January 28, 2000. Published June 20, 2001.
Math Subject Classifications: 35J05, 35J45, 35J65.
Key Words: Unique continuation; eigensurfaces; nonresonance problem.