The stability of the resonance set for a problem with jumping non-linearity

Author:

d'Aujourd'hui Marcel

Abstract

SynopsisFor QL2(0, 1) we investigate the set Γ ∊ ℝ2 of pairs (α β,) for which the problem has a nontrivial solution which has exactly one zero in (0,1) and is positive near x = 0. We show that Γ is stable in a certain sense under small perturbations of Q. The dependence of Γ upon Q is illustrated by an example.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. 4 Stuart C. A. . Elliptic boundary-value problems with jumping nonlinearities. Rapport interne, Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland.

2. Résultats d'existence et de non-existence de solutions pour certains problèmes demi-linéaires à l'infini;Gallouët;C.R. Acad. Sci. Paris,1980

3. Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini

4. On nonlinear elliptic problems with jumping nonlinearities

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A generic property of the resonance set of an elliptic operator with respect to the domain;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1997

2. A remark on the resonance set for a semilinear elliptic equation;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1994

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