global solution branches for equations involving nonhomogeneous operators of p-laplace type

−div(ϕ(x,∇u)) = μ|u|^p−2 u + f (λ, x, u,∇u)

with nonhomogeneous ϕ (which is assumed to behave asymptotically as the function generating the associated p-laplacian) has a global branch of solutions (λ, u). also the case of modified p-laplace operators and generalizations thereof are discussed.