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Multiple positive solutions for a quasilinear nonhomogeneous Neumann problems with critical Hardy exponents

✍ Scribed by Yinbin Deng; Lingyu Jin

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
303 KB
Volume
67
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we study the existence, nonexistence and multiplicity of positive solutions for nonhomogeneous Neumann boundary value problems of the type

where Ω is a bounded domain in R n with smooth boundary, 0 ∈ βˆ‚β„¦ , 2 ≀ p < n, p u = div(|βˆ‡u| p-2 βˆ‡u) is the p-Laplacian operator, p -1 < q ≀ p * (s) -1, 0 ≀ s < p -1, p * (s) = (n-s) p n-p , Ο† ∈ C Ξ± ( Ξ© ), 0 < Ξ± < 1, Ο†(x) β‰₯ 0, Ο†(x) ≑ 0 and Ξ» is a real constant.

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