| 拟线性椭圆型H-半变分不等式 |
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| 引用本文： | 刘振海.拟线性椭圆型H-半变分不等式[J].应用数学和力学,1999,20(2):211-216. |
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| 作者姓名： | 刘振海 |
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| 作者单位： | 长沙电力学院,数学系 |
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| 基金项目： | 博士后基金,留学归国人员基金,电力部新星基金 |
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| 摘 要： | 本文研究一类拟线性椭圆型Ｈ＿半变分不等式，即研究具有非凸、非光滑泛函的椭圆型不等式·这类问题的研究来自力学·利用Ｃｌａｒｋｅ广义梯度和伪单调算子理论，我们证明了拟线性椭圆型Ｈ＿半变分不等式解的存在性·
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| 关 键 词： | H-半变分不等式 椭圆型问题 存在性结果 |
| 修稿时间： | 1996-09-02 |
On Quasilinear Elliptic Hemivariational Inequalities |
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| Liu Zhenhai.On Quasilinear Elliptic Hemivariational Inequalities[J].Applied Mathematics and Mechanics,1999,20(2):211-216. |
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| Authors: | Liu Zhenhai |
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| Abstract: | In the present paper, quasilinear elliptic hemivariational inequalities as a generalization to nonconvex functionals of the elliptic variational inequalities are studied. This extension is strongly motivated by various problems in mechanics. By using the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators, the existence of solutions is proved. |
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| Keywords: | hemivariational inequalities elliptic problems existence results |
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