一个关于Kirchhoff方程解的存在性的注记
PDF下载 (364)胡晓晓.一个关于Kirchhoff方程解的存在性的注记[J].宁波大学学报(理工版),2013,26(01):60-62.DOI:
HU Xiao-xiao.A Note on the Existence of Solutions for Kirchhoff Type Problems without Ambrosetti-Rabinowitz Condition[J].Journal of Ningbo University(Natural Science & Engineering Edition),2013,26(01):60-62.DOI:
| Title: | A Note on the Existence of Solutions for Kirchhoff Type Problems without Ambrosetti-Rabinowitz Condition |
| 作者: | 胡晓晓 |
| Author(s): | HU Xiao-xiao |
| 关键词: | 变分法; Kirchhoff型问题; 山路引理 |
| Keywords: | variational methods; Kirchhoff type problem; Mountain-Pass theorem |
| 分类号: | O175.8 |
| 文献标识码: | A |
| 摘要: | 对如下形式的Kirchhoff 型非局部问题进行了研究: 其中: 是 中的光滑有界区域, , 上的连续实函数. 通过变分计算得到了无经典Ambrosetti-Rabinowitz条件下这类问题的多重解的存在性. |
| Abstract: | In this paper we consider the Kirchhoff type nonlocal problem in the form of where is a smooth bounded domain of , and is a real continuous function. We obtain the existence of multiplicity of solutions through variational methods for this problem without the classical Ambrosetti-Rabinowitz condition. |
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| 备注/Memo: | 收稿日期: 2012?03?09. 基金项目: 浙江省自然科学基金（LQ12A01015）.作者简介: 胡晓晓（1984－）, 女, 浙江温州人, 讲师, 主要研究方向: 非线性泛函分析. E-mail: smallapple12345@163.com 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
