We provide sufficient conditions for the existence of one positive solution for a fourth--order beam equation with a discontinuous nonlinear term. Also a multiplicity result is established. They are based on a recent generalization of the Krasnosel’skiĭ fixed point theorem in cones.

中文翻译：

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不连续一维梁方程的正解

我们为具有不连续非线性项的四阶梁方程的一个正解的存在提供了充分的条件。还建立了多重结果。它们基于锥体中的Krasnosel'skiĭ不动点定理的最新推广。