A non-smooth three critical points theorem with applications in differential inclusions

被引:0
作者
Alexandru Kristály
Waclaw Marzantowicz
Csaba Varga
机构
[1] Babeş-Bolyai University,Department of Economics
[2] Adam Mickiewicz University,Department of Mathematics
[3] Babeş-Bolyai University,Department of Mathematics and Computer Science
来源
Journal of Global Optimization | 2010年 / 46卷
关键词
Locally Lipschitz functions; Critical points; Differential inclusions;
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摘要
We extend a recent result of Ricceri concerning the existence of three critical points of certain non-smooth functionals. Two applications are given, both in the theory of differential inclusions; the first one concerns a non-homogeneous Neumann boundary value problem, the second one treats a quasilinear elliptic inclusion problem in the whole \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb R^N}$$\end{document}.
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页码:49 / 62
页数:13
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