Multiple solutions for a nonlinear Neumann problem involving

Authors

  • Jan Chabrowski

DOI:

https://doi.org/10.1285/i15900932v28n1p15

Keywords:

Sobolev exponent, multiple solutions, concentration-compactness principle, Neumann

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*).

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Published

01-01-2008

Issue

Volume 28, Issue 1 (2008)

Section

Articoli

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