Multiple positive solutions of singular eigenvalue type problems involving the one-dimensional p-Laplacian
نویسندگان
چکیده
منابع مشابه
Positive solutions for a multi - point eigenvalue problem involving the one dimensional p - Laplacian ∗ †
A multi-point boundary value problem involving the one dimensional p-Laplacian and depending on a parameter is studied in this paper and existence of positive solutions is established by means of a fixed point theorem for operators defined on Banach spaces with cones.
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Article history: Received 1 October 2013 Available online 21 November 2013 Submitted by J. Shi
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The semilinear case p = 2 with γ < 1 and f = 0 has been studied extensively in both bounded and unbounded domains (see [5, 6, 7, 10, 11, 12, 14, 20] and their references). In particular, Lair and Shaker [11] showed the existence of a unique (weak) solution when Ω is bounded and a ∈ L2(Ω). Their result was extended to the sublinear case f (t) = tβ, 0 < β ≤ 1 by Shi and Yao [15] and Wiegner [18]....
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2003.12.005