Multiple positive solutions of singular discrete p-Laplacian problems via variational methods
نویسندگان
چکیده
منابع مشابه
MULTIPLE POSITIVE SOLUTIONS OF SINGULAR DISCRETE p-LAPLACIAN PROBLEMS VIA VARIATIONAL METHODS
We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.
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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: Advances in Difference Equations
سال: 2005
ISSN: 1687-1847
DOI: 10.1155/ade.2005.93