This paper concerns with the existence of multiple solutions for a class of elliptic problems with discontinuous nonlinearity. By using dual variational methods, properties of the Nehari manifolds and Ekeland's variational principle, we show how the ‘shape’ of the graph of the function A affects the number of nontrivial solutions.

中文翻译：

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ℝN中不连续椭圆问题解的存在性和多重性

本文关注一类具有不连续非线性的椭圆问题的多重解的存在性。通过使用对偶变分方法、Nehari 流形的性质和 Ekeland 的变分原理，我们展示了函数图的“形状”如何一种影响非平凡解的数量。