| 变分泛函的半连续性问题 |
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| 引用本文： | 付永强,吴从炘. 变分泛函的半连续性问题[J]. 应用泛函分析学报, 2000, 2(3): 276-283 |
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| 作者姓名： | 付永强 吴从炘 |
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| 作者单位： | 哈尔滨工业大学数学系,黑龙江,哈尔滨,150001 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了非多项式增长的变分泛函，利用Orlicz空间理论，得到了其在Orlicz-Sobolev空间中弱序列下半连续的充要条件，推广了关于多项式增长的变分泛函的相应结论。
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| 关 键 词： | 变分泛函 下半连续 拟凸 ORLICZ－SOBOLEV空间 |
| 修稿时间： | 2000-03-12 |
Semicontinuity Problems in the Calculus of Variations |
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| FU Yong-qiang,WU Cong-xin. Semicontinuity Problems in the Calculus of Variations[J]. Acta Analysis Functionalis Applicata, 2000, 2(3): 276-283 |
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| Authors: | FU Yong-qiang WU Cong-xin |
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| Abstract: | In this paper, variational problems with nonpolynomial growth are studied by means of Orlicz space theory. The necessarity and sufficiency condition of weakly sequential semicontinuity for variational integrals are obtained in the setting of Orlicz|Sobolev space, which generalizes the corresponding results for variational problems with polynomial growth. |
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| Keywords: | variational integral semicontinuous quasi|convex |
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