Vector Quasi-Hemivariational Inequalities and Discontinuous Elliptic Systems

被引:0
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作者
S. Carl
Z. Naniewicz
机构
[1] Martin-Luther- Universität Halle-Wittenberg,Department of Mathematics and Natural Sciences, College of Science
[2] Fachbereich Mathematik und Informatik,undefined
[3] Institut für Analysis,undefined
[4] Cardinal Stefan Wyszyński University,undefined
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关键词
hemivariational inequality; trapping regions;
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摘要
We develop an existence theory for hemivariational inequalities in vector-valued function spaces which involve pseudomonotone operators. The obtained abstract result is used to study quasilinear elliptic systems whose lower order coupling vector field depends discontinuously upon the solution vector. We provide conditions that allow the identification of regions of existence of solutions for such systems, so called trapping regions.
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页码:609 / 634
页数:25
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