Abstract
We study the structure of the set of solutions of a nonlinear equation involving nonhomogeneous operators: − div ( ϕ ( x , | ∇ u | ) ∇ u ) = μ 0 g ( x ) | u | p − 2 u + f ( λ , x , u ) in R N satisfying certain conditions on ϕ , g and f when μ 0 is not an eigenvalue of the p -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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