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Existence of positive solutions for m-Laplacian boundary value problems

✍ Scribed by Fu-Hsiang Wong

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
358 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 for each fixed t 6 (0, 1).

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