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.
Recommended Citation
V. K. Le, "Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators," Houston Journal of Mathematics, University of Houston - Mathematics, Jan 2006.
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.
Publication Date
01 Jan 2006
