Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 11, pp. 1-8.

Title: Unique solvability for a second order
       nonlinear system via  two global inversion theorems

Author: Robert Dalmasso (Laboratoire Jean Kuntzmann, Cedex 9, France)

Abstract: 
  In this paper we use two global inversion theorems to establish
  the existence and uniqueness for a nonlinear second order
  homogeneous Dirichlet system.
  
Submitted October 16, 2007. Published January 21, 2008.
Math Subject Classifications: 34B15.
Key Words: Nonlinear boundary value problem; existence; uniqueness.