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Two perturbation results for nondegenerate solutions of some semilinear Dirichlet problems*

Published online by Cambridge University Press:  14 November 2011

Mario Michele Coclite
Mario Michele Coclite
Affiliation:
Dipartimento di Matematica, Università di Bari, Via Giustino Fortunato, Campus, 70125 Bari, Italy
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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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