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Asymptotic behaviour, nodal lines and symmetry properties forsolutions of superlinear elliptic equations nearan eigenvalue
Published online by Cambridge University Press: 15 September 2005
Abstract
We give the precise behaviour of some solutions of a nonlinearelliptic B.V.P. in a bounded domain when a parameter approaches aneigenvalue of the principal part. If the nonlinearity has someregularity and the domain is for example convex, we also prove anonlinear version of Courant's Nodal theorem.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 11 , Issue 4 , October 2005 , pp. 508 - 521
- Copyright
- © EDP Sciences, SMAI, 2005
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