Svetlin Georgiev Georgiev
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.
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Svetlin Georgiev Georgiev Department of Differential Equations University of Sofia, Sofia, Bulgaria email: sgg2000bg@yahoo.com |
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