We study multiplicity results for a perturbed fourth-order problem on the real line with a perturbed nonlinear term depending on one real parameter. Our approach is based on the variational methods and critical point theory proposed in [G. Bonanno, “ Nonlin. Anal., 75, 2992–3007 (2012)].

中文翻译：

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全空间四阶弹性梁方程三个弱解的存在性

我们研究了实线上的扰动四阶问题的多重性结果，其中扰动非线性项取决于一个实参数。我们的方法基于 [G. 博南诺，“诺林。肛门。, 75, 2992–3007 (2012)]。