Title

Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators

Abstract

We consider here the boundary value problem −div(A(|ru|)ru) = g(x, u, µ) in ª u = 0 on @ª, in the case where the principal term A(|ru|)ru has very slow growth. We show the Rabinowitz alternative for global bifurcation and also some existence results by a topological approach. Due to the lack of coercivity, new arguments and techniques are needed.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Orlicz-Sobolev space; global bifurcation; quasilinear equation; slow growth

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 University of Houston - Mathematics, All rights reserved.


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