Document Type

Article

Publication/Presentation Date

10-2006

Abstract/Description

An elliptic PDE is studied which is a perturbation of an autonomous equation. The existence of a nontrivial solution is proven via variational methods. The domain of the equation is unbounded, which imposes a lack of compactness on the variational problem. In addition, a popular monotonicity condition on the nonlinearity is not assumed. In an earlier paper with this assumption, a solution was obtained using a simple application of topological (Brouwer) degree. Here, a more subtle degree theory argument must be used. © EDP Sciences, SMAI 2006.

Publication Title

ESAIM: Control, Optimisation and Calculus of Variations

Required Publisher’s Statement

Publications in ESAIM-COCV are copyright protected, but distribution of copies for non-commercial use is allowed and encouraged. The original publication is available at www.esaim-cocv.org.

Included in

Mathematics Commons

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