Positive solutions of singular four-point boundary value problem with -Laplacian.
Miao, Chunmei, Pang, Huihui, Ge, Weigao (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Multiplicity results of positive radial solutions for -Laplacian problems in exterior domains.”
Positive solutions of singular four-point boundary value problem with -Laplacian.
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The paper investigates the structure and properties of the set S of all positive solutions to the singular Dirichlet boundary value problem u″(t) + au′(t)/t − au(t)/t 2 = f(t, u(t),u′(t)), u(0) = 0, u(T) = 0. Here a ∈ (−∞,−1) and f satisfies the local Carathéodory conditions on [0,T]×D, where D = [0,∞)×ℝ. It is shown that S c = {u ∈ S: u′(T) = −c} is nonempty and compact for each c ≥ 0 and S = ∪c≥0 S c. The uniqueness of the problem is discussed. Having a special case of the problem,...
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