| 含临界指数p-Kirchhoff型方程的非平凡解 |
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| 引用本文： | 刘琼.含临界指数p-Kirchhoff型方程的非平凡解[J].数学杂志,2016,36(1):157-163. |
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| 作者姓名： | 刘琼 |
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| 作者单位： | 湖北工程学院数学与统计学院, 湖北 孝感 432000 |
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| 基金项目： | 湖北省教育厅科研计划重点项目(D20122605;D20142702)资助. |
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| 摘 要： | 本文研究了一类含临界指数的p-Kirchhoff型方程.利用变分方法与集中紧性原理,通过证明对应的能量泛函满足局部的(PS)_c条件,得到了这类方程非平凡解的存在性,推广了关于Kirchhoff型方程的相关结果.
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| 关 键 词： | p-Kirchhoff型方程 (PS)c条件 临界指数 非平凡解 |
| 收稿时间： | 2013/9/18 0:00:00 |
| 修稿时间： | 2014/1/8 0:00:00 |
NONTRIVIAL SOLUTIONS FOR P-KIRCHHOFF TYPE EQUATIONS INVOLVING CRITICAL EXPONENT |
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| LIU Qiong.NONTRIVIAL SOLUTIONS FOR P-KIRCHHOFF TYPE EQUATIONS INVOLVING CRITICAL EXPONENT[J].Journal of Mathematics,2016,36(1):157-163. |
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| Authors: | LIU Qiong |
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| Institution: | School of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, China |
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| Abstract: | In this paper, we are concerned with the existence of nontrivial solutions to a class of p-Kirchhoff type equations involving critical exponent. By analyzing the effect of critical nonlinear term and estimating energy functional carefully, with the aid of variational methods and the concentration-compactness principle, we establish the existence of nontrivial solutions for the p-Kirchhoff type equations, which extends the results of the Kirchhoff type equations. |
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| Keywords: | p-Kirchhoff type equation (PS)c condition critical exponent nontrivial solution |
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