Global bifurcation for equations involving nonhomogeneous operators in an unbounded domain Original Research Article

We study the structure of the set of solutions of a nonlinear equation involving nonhomogeneous operators: View the MathML source−div(ϕ(x,|∇u|)∇u)=μ0g(x)|u|p−2u+f(λ,x,u)in RN Turn MathJax on 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.