苏州科技大学学报（自然科学版）2021，Vol.38Issue(2)：17-26,10.DOI:10.12084/j.issn.2096-3289.2021.02.003
关于带双临界项的薛定谔-泊松方程
Schr?dinger Poisson equations with double-critical terms
摘要
Abstract
We studied the Schr?dinger Poisson equations with double critical terms-△u+u+μ(I2*|u|5)|u|3u-λ|u|p-2u-|u|4u=0 in 3,where p∈(2,6) and λ≥0,μ>0,I2(x):=(4π|x|)-1 is the Riesz potential and*denotes the standard convolution. The existence and nonexistence of positive radially symmetric solutions were obtained by using variational methods. We also explored the asymptotic behaviors of solutions with respect to the parameter λ.关键词
薛定谔-泊松方程/临界非局部项/波霍扎耶夫恒等式/变分法Key words
Schrödinger Poisson equation/critical nonlocal term/Pohožaev identity/variational method分类
数理科学引用本文复制引用
刘增..关于带双临界项的薛定谔-泊松方程[J].苏州科技大学学报（自然科学版）,2021,38(2):17-26,10.基金项目
国家自然科学基金资助项目(11901418 （）
11771319) （）
