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arxiv: 1511.02129 · v1 · pith:R5ZNUC6Lnew · submitted 2015-11-06 · 🧮 math.CA

Multiple positive solutions to a fourth order boundary value problem

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keywords boundarypositiveproblemsolutionsvalueapproachcompression-expansionconical
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We study the existence and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnoselskii's compression-expansion theorem, and unilateral Harnack type inequalities.

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