带有临界指数的p-Kirchhoff型方程的非平凡解
发布时间：2019-07-26 09:09
【摘要】：通过变分方法研究了RN上带有临界指数的p-Kirchhoff型方程非平凡解的存在性。首先证明了该问题的能量泛函存在有界的(PS)C序列,进而通过集中紧性原理证明了此(PS)C序具有收敛子列,从而证明了此问题存在非平凡解。
[Abstract]:The existence of nontrivial solutions for p-Kirchhoff type equations with critical indices on RN is studied by means of variation method. Firstly, it is proved that the energy functional of the problem has a bounded (PS) C sequence, and then the (PS) C order has a convergent subsequence by means of the concentrated compactness principle, thus proving that there is a nontrivial solution to the problem.
【作者单位】： 太原理工大学数学学院;
【基金】：国家自然科学基金资助项目(51278325)
【分类号】：O175
本文编号：2519472
[Abstract]:The existence of nontrivial solutions for p-Kirchhoff type equations with critical indices on RN is studied by means of variation method. Firstly, it is proved that the energy functional of the problem has a bounded (PS) C sequence, and then the (PS) C order has a convergent subsequence by means of the concentrated compactness principle, thus proving that there is a nontrivial solution to the problem.
【作者单位】： 太原理工大学数学学院;
【基金】：国家自然科学基金资助项目(51278325)
【分类号】：O175
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相关硕士学位论文 前1条
1 宋宇鹏;一类p-Kirchhoff型方程解的存在性与多解性[D];山西大学;2015年
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