非光滑型对偶喷泉定理及其在一个微分包含问题中的应用

Nonsmooth Version of Dual Fountain Theorem and Its Application to a Differential Inclusion Problem

在这篇论文中,作者应用非光滑分析理论把Willem建立的对偶喷泉定理推广到非光滑情形,即非光滑型对偶喷泉定理.作为该定理的应用,作者研究带有凹凸非线性项的Dirichlet型微分包含问题的多解性.

In this paper we establish a nonsmooth version of dual Fountain theorem by adopting the framework of nonsmooth analysis theory, which is a generalization of Theorem 3.18 of [16]. Then we present an application of this Theorem to a Dirichlet-type differential inclusion problem involving concave and convex nonlinearities.