Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 20, pp. 1-11.

Title: An incorrectly posed problem for nonlinear elliptic equations
   
Author: Svetlin Georgiev Georgiev (Univ. of Sofia, Bulgaria)

Abstract:
 We study properties of solutions to non-linear
 elliptic problems involving the Laplace operator on the
 unit sphere. In particular, we show that solutions do not
 depend continuously on the initial data.
 
Submitted January 6, 2008. Published January 23, 2009.
Math Subject Classifications: 35J60, 35J65, 35B05.
Key Words: Nonlinear elliptic equation; incorrectly posed problems.