【摘要】：通過(guò)變分方法研究了RN上帶有臨界指數(shù)的p-Kirchhoff型方程非平凡解的存在性。首先證明了該問(wèn)題的能量泛函存在有界的(PS)C序列,進(jìn)而通過(guò)集中緊性原理證明了此(PS)C序具有收斂子列,從而證明了此問(wèn)題存在非平凡解。
[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.
【作者單位】： 太原理工大學(xué)數(shù)學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(51278325)
【分類號(hào)】：O175

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1 宋宇鵬;一類p-Kirchhoff型方程解的存在性與多解性[D];山西大學(xué);2015年

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