In the present paper, a new existence theorem on three critical points for locally Lipschitz functional is given, and as its an application, a class of reaction-diffusion equations with discontinuous nonlinearities is studied.

中文翻译：

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局部Lipschitz泛函三个临界点的新存在定理及其应用

本文给出了局部Lipschitz泛函三个临界点的新存在定理，并以此为应用研究了一类具有不连续非线性的反应扩散方程。