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集值优化问题的非线性增广拉格朗日方法
  • ISSN号：0254-3079
  • 期刊名称：《应用数学学报》
  • 时间：0
  • 分类：O212.7[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]泰州学院数理学院,泰州225300, [2]苏州大学数学科学学院,苏州215006
  • 相关基金：中国国家自然科学基金（11171247,11471235,11371273）和江苏省研究生创新工程（CXZZ13-0792）资助项目.
作者： 向丽
关键词： 边值问题, 重排空间, 优化问题, boundary value problem, rearrangement, optimization
中文摘要：

在本文中,我们考虑了一类与椭圆型边值问题相关的重排优化问题.首先,我们研究并得到了椭圆型边值问题解的存在性和唯一性.然后,在一定条件下我们得到了与此椭圆型边值问题相关的重排优化问题的可解性.最后,我们讨论了优化问题的解和对应的边值问题的解之间的关系.

英文摘要：

In this paper, a rearrangement optimization problem related to a class of elliptic boundary value problem was considered. Firstly, we studied and obtained the existence and uniqueness of the solutions for elliptic boundary value problem. Then, under suitable conditions, the solvability of the rearrangement optimization problem corresponding to the elliptic boundary value problem was proved. Lastly, a relation between the solutions of the optimization problem and the corresponding elliptic boundary value problem was discussed.

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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864