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Uniqueness of stable and unstable positive solutions for semipositone problems

โœ Scribed by Alfonso Castro; Gadam Sudhasree


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
379 KB
Volume
22
Category
Article
ISSN
0362-546X

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A remark on the uniqueness of positive s
โœ G.A. Afrouzi; S.H. Rasouli ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

In this paper we prove the uniqueness of positive weak solutions to the problem Here is a bounded domain in R N (N 3) with smooth boundary j , p denotes the p-Laplacian operator defined by p z = div(|โˆ‡z| p-2 โˆ‡z); p > 1, g(x, 0) = 0, for a.e. x โˆˆ , and g(x, u) is a Caratheodory function. We provide