Multiplicity results for an inhomogeneous Neumann problem with critical exponent
β Scribed by Gabriella Tarantello
- Book ID
- 110558546
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 684 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0025-2611
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π SIMILAR VOLUMES
In this paper, we study the existence, nonexistence and multiplicity of positive solutions for nonhomogeneous Neumann boundary value problems of the type where β¦ is a bounded domain in R n with smooth boundary, 0 β ββ¦ , 2 β€ p < n, p u = div(|βu| p-2 βu) is the p-Laplacian operator, p -1 < q β€ p \*
Let β R N be a smooth bounded domain such that 0 β , N 3, 0 s < 2, 2 \* (s) := 2(N - s)/N -2 is the critical Sobolev-Hardy exponent, f (x) is a given function. By using the Ekeland's variational principle and the mountain pass lemma, we prove the existence of multiple solutions for the singular crit