Abstract
It is shown that if μ is not an eigenvalue of an associated p -Laplacian, then the equation − 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.
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