"Generic Existence Result for an Eigenvalue Problem with Rapidly Growin" by Vy Khoi Le
 

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.

Publication Date

01 Jan 2004

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