Title

Generic Existence Result for an Eigenvalue Problem with Rapidly Growing Principal Operator

Abstract

We consider the eigenvalue problem -div(a(|∇u|)∇u) = λg(x, u) in Ω u = 0 on ∂Ω, in the case where the principal operator has rapid growth. by using a variational approach, we show that under certain conditions, almost all lambda λ > 0are eigenvalues.

Department(s)

Mathematics and Statistics

Keywords and Phrases

generic existence; quasilinear elliptical equation; rapidly growing operator; variational inequality

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2004 EDP Sciences, All rights reserved.

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