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p-Laplacian算子奇异三点边值问题正解的存在性
  • ISSN号：1007-824X
  • 期刊名称：《扬州大学学报：自然科学版》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]常州工程职业技术学院基础部,江苏常州213164, [2]河海大学常州校区数理部,江苏常州213022, [3]北京理工大学理学院,北京100081
  • 相关基金：国家自然科学基金（10371006）;河海大学常州校区青年科技基金（cq2006-09）
作者： 严树林[1], 李志艳[2], 葛渭高[3]
关键词： 奇异边值问题, P-LAPLACIAN算子, LERAY-SCHAUDER度理论, 正解, singular boundary value problem, p-Laplacian operator, Leray-Schauder degree theory, positive solution
中文摘要：

研究了一类具有p-Laplacian算子的奇异多点边值问题.在带λ的边值问题族有解的情况下,通过Leray-Schauder度理论证明所给奇异边值问题正解的存在性.

英文摘要：

A class of singular three-point boundary value problem with p-Laplacian opertor is studied. When boundary value problems with A have solutions, the existence of one positive solution of singular three-point boundary value problem with p-Laplacian is proved by Leray-Schauder degree theory .

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期刊信息
  • 《扬州大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:江苏省教育厅
  • 主办单位:扬州大学
  • 主编：郭荣
  • 地址：江苏省扬州市大学南路88号
  • 邮编：225009
  • 邮箱：xuebaozr01@mail.yzu.edu.cn
  • 电话：0514-7971607
  • 国际标准刊号：ISSN：1007-824X
  • 国内统一刊号：ISSN：32-1472/N
  • 邮发代号:28-48
  • 获奖情况:
  • 全国高校自然科学学报一等奖,第三届江苏省双十佳期刊,江苏省高校自然科学学报一等奖,中国期刊方阵“双效”期刊
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  • 被引量:3109