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Positive solutions for a system of -Laplacian boundary value problems

โœ Scribed by Zhilin Yang


Book ID
113512134
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
269 KB
Volume
62
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Fu-Hsiang Wong ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

Sufficient conditions for the existence of positive solutions of the nonlinear m-Laplacian boundary value problem are constructed, where m > 2 and f : [0, 1) x (0, oo) --\* (0, oo) satisfying f(t, u) is locally Lipschitz continuous for u 6 (0, cx)), and f(t,u)/u m-1 is strictly decreasing in u > 0

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In this paper, we establish the uniqueness of positive solutions of generalized Laplacian boundary value problems where as,/~i \_> 0 and ai 2 +/?i 2 ยข 0 (i = 1, 2). (~