摘要
研究一类分数阶Choquard方程的正规解,其中非线性项包含Hardy-Littlewood-Sobolev临界指数和带参数的质量超临界非局部项,分析Pohozaev流形的性质,建立了上述方程对应能量泛函的Palais-Smale序列的紧性条件。当扰动项的系数充分大时,获得了其正规基态解的存在性。
The normalized solutions for a class of fractional Choquard equations are studied,where Hardy-Littlewood-Sobolev critical exponent and mass supercritical nonlocal term with the parameter are contained in nonlinearites.By analyzing the properties of Pohozaev manifold,the compact condition of Palais-Smale sequences for the energy functional corresponding to above equations is established.When the coefficient of perturbation is large enough,the existence of normalized ground state solutions is obtained.
作者
桑彦彬
Yanbin SANG(School of Mathematics,North University of China,Taiyuan 030051,Shanxi,China)
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2024年第8期48-55,66,共9页
Journal of Shandong University(Natural Science)
基金
山西省基础研究计划资助项目(202103021224198)。