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含Hardy位势双调和方程解的存在性和多重性
  • ISSN号：1000-1832
  • 期刊名称：《东北师大学报：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]齐鲁师范学院数学学院,山东济南250013
  • 相关基金：国家自然科学基金资助项目（10971179）; 山东省高等学校科技计划项目（J02LI53）; 齐鲁师范学院青年教师科研基金资助项目（2013L1306）
作者： 刘春晗[1], 王建国[1]
关键词： HARDY位势, 山路引理, 临界群, 非平凡解, Hardy potential, mountain pass lemma, critical group, nontrivial solution
中文摘要：

利用山路引理及临界群,在共振的情况下讨论含Hardy位势的双调和方程,获得了方程非平凡解的存在性和多重性.

英文摘要：

By using mountain pass lemma and critical group,biharmonic equations with Hardy potential at resonance are discussed.It proves the existence and multiplicity of nontrivial solutions.

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期刊信息
  • 《东北师大学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:东北师范大学
  • 主编：刘宝
  • 地址：长春市净月大街2555号
  • 邮编：130117
  • 邮箱：dslkxb@nenu.edu.cn
  • 电话：0431-89165992
  • 国际标准刊号：ISSN：1000-1832
  • 国内统一刊号：ISSN：22-1123/N
  • 邮发代号:12-43
  • 获奖情况:
  • 中文综合性科学技术类核心期刊,中国科学引文数据库来源期刊,中国科技论文统计源期刊,中国期刊方阵“双效”期刊
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  • 被引量:7830