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一类p-拉普拉斯方程解的存在性
  • 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： 林振生[1]
关键词： 山路引理, 集中紧性引理, 临界索伯列夫指数, P-拉普拉斯方程, mountain-pass lemma concentration-compactness lemma, critical Sobolev exponent , p-Laplacian equation
中文摘要：

应用山路引理及集中紧性引理研究方程-△pu＋V（x）｜u｜p-2u=μ｜u｜P-2u＋λp（x）｜u｜q-2u,x∈Ω,u｜э=0,P＜q＜p＊非平凡解的存在性，推广了关于问题-△u=｜u｜2＊-2u＋λ｜u｜q-2u,u∈H0^1（Ω）非平几解的存在性的结果．

英文摘要：

Via mountain pass lemma andconcentration-compactness lemma, obtain a nonrivial solution forthe equation：-△pu＋V（x）｜u｜p-2u=μ｜u｜P-2u＋λp（x）｜u｜q-2u,x∈Ω,u｜э=0,P〈q〈p＊,which generalize the result of existence of a nontrivial solution for theproblem ：-△u=｜u｜2＊-2u＋λ｜u｜q-2u,u∈H0^1（Ω）.

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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