Article ID Journal Published Year Pages File Type
842134 Nonlinear Analysis: Theory, Methods & Applications 2010 8 Pages PDF
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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