Electron. J. Diff. Eqns., Vol. 2009(2009), No. 20, pp. 1-11.

An incorrectly posed problem for nonlinear elliptic equations

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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