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一类Kirchhoff-Poisson方程变号解的存在性 被引量：1

Existence of Sign-Changing Solutions for a Class of Kirchhoff-Poisson Equation in Bounded Domains
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摘要 本文应用Nehari流形及变分方法研究了一类有界区域上Kirchhoff-Poisson方程,得到了该方程变号解的存在性.发现并纠正了巴西学者M.Giovany和R.G.Nascimento在文献[8]中的错误. In this paper,we prove the existence of sign-changing solutions for the Kirchhoff-Poisson equation in a bounded domain in R3 via Nehari manifold and variational methods. We found out some mistakes in M. Giovany and R. G. Nascimento＇s paper [8] and correct them in this paper.
作者 巴振 贺小明
机构地区 中央民族大学理学院
出处 《中央民族大学学报（自然科学版）》 2015年第2期82-87,共6页 Journal of Minzu University of China(Natural Sciences Edition)
基金 国家自然科学基金面上项目(No.11271386)
关键词 Kirchhoff-Poisson方程 变号解 NEHARI流形 变分方法. Kirchhoff-Poisson equation Sign-changing solutions Nehari manifold Variational methods
分类号 O175.21 [理学—基础数学]
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参考文献10

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二级参考文献36

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中央民族大学学报（自然科学版）
2015年 第2期

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