Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842134 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 8 Pages |
Abstract
We study the structure of the set of solutions of a nonlinear equation involving nonhomogeneous operators: −div(ϕ(x,|∇u|)∇u)=μ0g(x)|u|p−2u+f(λ,x,u)in RN satisfying certain conditions on ϕ,gϕ,g and ff when μ0μ0 is not an eigenvalue of the pp-Laplacian in some sense. This is based on a bifurcation result on noncompact connected sets of solutions for nonlinear operator equations.
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Authors
In-Sook Kim, Yun-Ho Kim,