In this paper we consider a superlinear one-dimensional elliptic boundary value problem that generalizes the one studied by Moore and Nehari in Moore and Nehari (1959). Specifically, we deal with piecewise-constant weight functions in front of the nonlinearity with an arbitrary number of vanishing regions. We study, from an analytic and numerical point of view, the number of positive solutions, depending on the value of a parameter and on .

中文翻译：

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Moore-Nehari 型超线性问题的大量正解


在本文中，我们考虑一种超线性一维椭圆边值问题，该问题概括了 Moore 和 Nehari 在 Moore 和 Nehari (1959) 中研究的问题。具体来说，我们在非线性之前处理具有任意数量消失区域的分段常数权重函数。我们从分析和数值的角度研究正解的数量，具体取决于参数的值和 。