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Schauder边界条件的推广及多临界点定理
  • ISSN号：0455-2059
  • 期刊名称：《兰州大学学报：自然科学版》
  • 时间：0
  • 分类：O176.3[理学—数学;理学—基础数学]
  • 作者机构：[1]兰州大学数学与统计学院,兰州730000
  • 相关基金：国家自然科学基金项目（11031003）
作者： 孙晓通[1], 钟承奎[1]
关键词： 不变集, 伪梯度流, 本性局部凸, 约束变分问题, invariant set, pseudo-gradient flow, essentially local convex, constraint variational problem AMS Subject Classifications（2000）：58E50
中文摘要：

通过切锥及局部微分同胚的概念,引入了一种新的边界条件的刻画方式,并给出了相应的构造伪梯度向量场的方法.针对非线性项在零点与无穷大处增长性发生变化的p-Laplace方程,应用得到了几个多临界点存在的结果.

英文摘要：

By means of some concepts of tangent cone and local differmorphism,a different boundary condition and the appropriate way to construct the corresponding pseudo-gradient vector field were established.And several multiple critical points theorems were proved for the p-Laplace equation with a nonlinear term which has different rates at zero and infinity.

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非线性泛函分析与无穷维动力系统中相关理论及应用问题的研究
期刊论文 45 著作 1
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期刊信息
  • 《兰州大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:教育部
  • 主办单位:兰州大学
  • 主编：涂永强
  • 地址：兰州市天水南路222号
  • 邮编：730000
  • 邮箱：jns@lzu.edu.cn
  • 电话：0931-8912707
  • 国际标准刊号：ISSN：0455-2059
  • 国内统一刊号：ISSN：62-1075/N
  • 邮发代号:54-3
  • 获奖情况:
  • 全国自然科学类核心期刊,甘肃省优秀科技期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,英国动物学记录,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）,英国英国皇家化学学会文摘,中国北大核心期刊（2000版）
  • 被引量:12892