Hartman–Stampacchia results for stably pseudomonotone operators and non-linear hemivariational inequalities
Hartman–Stampacchia results for stably pseudomonotone operators and non-linear hemivariational inequalities
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DOI：
10.1080/00036810902942218
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发表时间：
2010-02
影响因子：
1.1
通讯作者：
Nicuşor Costea;Vicentiu D. Rădulescu
中科院分区：
文献类型：
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作者：
Nicuşor Costea;Vicentiu D. Rădulescu
研究了两类非标准半变分不等式。在第一种情况下，我们建立了一个Hartman-Stampacchia型的存在性结果的框架下稳定的伪单调算子。其次，我们证明了一类非线性正则半变分不等式扰动的存在性结果。我们的分析包括了Banach空间中紧集和闭凸集的情形。应用于非强制半变分和变分半变分不等式说明了本文的抽象结果。
We are concerned with two classes of non-standard hemivariational inequalities. In the first case we establish a Hartman–Stampacchia type existence result in the framework of stably pseudomonotone operators. Next, we prove an existence result for a class of non-linear perturbations of canonical hemivariational inequalities. Our analysis includes both the cases of compact sets and of closed convex sets in Banach spaces. Applications to non-coercive hemivariational and variational–hemivariational inequalities illustrate the abstract results of this article.