Some Existence and Bifurcation Results for Quasilinear Elliptic Equations with Slowly Growing Principal Operators
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.
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.
Mathematics and Statistics
Keywords and Phrases
Orlicz-Sobolev space; global bifurcation; quasilinear equation; slow growth
Article - Journal
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