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一个RN上的p-拉普拉斯椭圆方程的最小能量解
  • ISSN号：1000-5277
  • 期刊名称：《福建师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.25[理学—数学;理学—基础数学]
  • 作者机构：[1]福建师范大学数学与计算机科学学院,福建福州350007
  • 相关基金：国家自然科学基金重点项目（10831005）;国家自然科学基金资助项目（10471024）
作者： 黄秀燕[1]
关键词： 极大值问题, 集中紧性原理, p-拉普拉斯椭圆方程, 最小能量解, maximization problem concentration-compactness principle p-Laplacian elliptic equation, least energy solution
中文摘要：

利用一个无穷远处的集中紧性原理来解决带约束极大值问题M（b．RN）：=sup{∫RNb（x）｜u｜qdx;u∈W1,p（RN）,∫RN（｜△u｜P＋｜u｜P）dx=1的可达性，其中b（x）满足适当的条件，得到P-拉普拉斯椭圆方程-△pu＋｜u｜P-2u=b（x）｜u｜q-2u,u∈W1,p（RN）,1＜pN,P＜q＜P的最小能量解．

英文摘要：

Using a concentration-compactness principle at infinity to solve a constrained maximization problem M（b,RN） ：sup{∫RNb（x）｜u｜qdx;u∈W1,p（RN）,∫RN（｜△u｜P＋｜u｜P）dx=1},here b（：c） satisfies certain conditions. Then obtain the existence of a least energy solution of a p-Laplacian elliptic equation-△pu＋｜u｜P-2u=b（x）｜u｜q-2u,u∈W1,p（RN）,1〈pN,P〈q〈P

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期刊信息
  • 《福建师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:福建师范大学
  • 主办单位:福建师范大学
  • 主编：余望
  • 地址：福州市福建师范大学旗山校区
  • 邮编：350117
  • 邮箱：linmin@fjnu.edu.cn
  • 电话：0591-22867857
  • 国际标准刊号：ISSN：1000-5277
  • 国内统一刊号：ISSN：35-1074/N
  • 邮发代号:34-43
  • 获奖情况:
  • 福建省优秀科技期刊,全国优秀高校自然科学学报,华东地区优秀期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,德国数学文摘,美国剑桥科学文摘,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）
  • 被引量:7294