Global bifurcation of the pp-Laplacian in RN

We study global bifurcation for the following nonlinear equation: View the MathML source−div(a(x)|∇u|p−2∇u)=μ0g(x)|u|p−2u+f(λ,x,u)in RN Turn MathJax on satisfying certain conditions on a,ga,g, and ff when μ0μ0 is not an eigenvalue of the above divergence form. It is based on a bifurcation result on noncompact components of solutions for nonlinear operator equations.