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Two perturbation results for nondegenerate solutions of some semilinear Dirichlet problems*
Published online by Cambridge University Press: 14 November 2011
Synopsis
The stability of nondegenerate solutions of some semilinear Dirichlet problems is studied. Two specific situations are considered: firstly, a singular perturbation of the differential operator; secondly, a perturbation of the nonlinear term using a term which also depends on the gradient of the solution.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 1-2 , 1989 , pp. 1 - 11
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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