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Multiple solutions for a nonlinear Neumann problem involving


Abstract


We study the nonlinear Neumann problem (1) involving a critical Sobolev exponent and a nonlinearity of lower order. Our main results assert that for every k∈ℕ problem (1) admits at least k pairs of nontrivial solutions provided a parameter μ; belongs to some interval (0, μ*).

DOI Code: 10.1285/i15900932v28n1p15

Keywords: Sobolev exponent; multiple solutions; concentration-compactness principle; Neumann

Classification: 35B33; 35J65; 35Q55

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