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一类非线性薛定谔方程的多解的存在性
  • ISSN号：1001-9847
  • 期刊名称：《应用数学》
  • 时间：0
  • 分类：O175.29[理学—数学;理学—基础数学]
  • 作者机构：[1]中国科学院武汉物理与数学研究所,湖北武汉430071, [2]江西师范大学数学系,江西南昌330022
  • 相关基金：Supported by the National Natural Science Foundation of China（10571175,10631030）
作者： 彭超权[1], 杨健夫[2]
关键词： 存在性, 无穷多解, 薛定谔方程, Existence, Infinitely many solutions, Schr（o）dinger equation
中文摘要：

本文讨论了如下一类非线性薛定谔方程：-△u＋V（x）u=f（u）,x∈R^N,在H^1（R^N）中无穷多解的存在性,其中N≥3,V（x）是RN上的实值连续函数并且满足对（A）x∈R^N,V（z）≥V0＞0.

英文摘要：

In this paper,we show that the nonlinear Schrodinger equation -△u＋V（x）u=f（u）,x∈R^N,where N〉3 and the potential V（x） is a continuous function satisfying V（x）≥V0〉0 for all x∈ R^N,possesses infinitly many solutions in H^1（RN）.

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非线性椭圆与抛物型方程的理论及其应用的研究
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强不定非线性椭圆问题与时滞非线性反应扩散方程研究
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期刊信息
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
  • 获奖情况:
  • 中国科学引文数据库来源期刊,中国学术期刊综合评价数据库来源期刊
  • 国内外数据库收录:
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  • 被引量:4139