An incorrectly posed problem for nonlinear elliptic equations

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.

Bibliographic Details
Main Author: Svetlin G. Georgiev
Format: Article
Language:English
Published: Texas State University 2009-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/20/abstr.html