Abstract
SynopsisThe 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.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Stable phase interfaces in the van der Waals–Cahn–Hilliard theory;Journal für die reine und angewandte Mathematik (Crelles Journal);2012-01