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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. |
| 关键词: p-Kirchhoff型方程 (PS)c条件 临界指数 非平凡解 |
| DOI： |
| 分类号:O175.25 |
| 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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| NONTRIVIAL SOLUTIONS FOR P-KIRCHHOFF TYPE EQUATIONS INVOLVING CRITICAL EXPONENT |
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LIU Qiong
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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. |
| Key words: p-Kirchhoff type equation (PS)c condition critical exponent nontrivial solution |
