| 一类具有变号位势的超二次Kirchhoff方程解的多重性 |
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| 引用本文： | 孙,歆,段,誉,张云艳.一类具有变号位势的超二次Kirchhoff方程解的多重性[J].应用数学,2019,32(1):126-133. |
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| 作者姓名： | 孙 歆 段 誉 张云艳 |
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| 作者单位： | 贵州工程应用技术学院理学院 |
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| 基金项目： | 国家自然科学基金(11661021);贵州省教育厅青年科技人才成长项目(KY[2017]297);贵州省科学技术基金(黔科合J字LKB[2013]24) |
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| 摘 要： | 本文研究一类全空间上的Kirchhoff型方程.当非线性项是凹凸混合项且f在无穷远处满足超二次增长时,利用变分方法获得方程解的多重性结果,改进和推广了相关文献中的结论.
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| 关 键 词： | KIRCHHOFF方程 变分法 超二次增长 多重性 |
| 收稿时间： | 2018/3/8 0:00:00 |
Multiplicity of Solutions for Super-Quadratic Kirchhoff Type Equations with Sign-Changing Potential |
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| SUN Xin,DUAN Yu,ZHANG Yunyan.Multiplicity of Solutions for Super-Quadratic Kirchhoff Type Equations with Sign-Changing Potential[J].Mathematica Applicata,2019,32(1):126-133. |
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| Authors: | SUN Xin DUAN Yu ZHANG Yunyan |
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| Institution: | (College of Science,Guizhou University of Engineering Science,Bijie 551700,China) |
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| Abstract: | In this paper, we consider the Kirchhoff type equation on the whole space. When the nonlinearity involves a combination of convex and concave terms and f satisfies super-quadratic growth at infinity, multiplicity of nontrivial solutions to this problem are obtained via variational methods. Our results improves and generalizes that obtained in the literature. |
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| Keywords: | Kirchhoff type equation Variational method Super-quadratic growth Multiplicity |
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