摘要
本文研究了在Heisenberg群上具有奇异和临界增长的Schrödinger-Possion系统,利用Brézis-Lieb和Brézis-Nirenberg引理,得到了正解的存在性和多重性.
This paper investigates the Schrödinger-Posion system with singular and critical growth on the Heisenberg group. Using the Brézis-Lieb and Brézis-Nierenberg lemmas, the existence and multiplicity of positive solutions are obtained.
作者
朱怡颖
索洪敏
安育成
张鹏
ZHU Yi-ying;SUO Hong-min;AN Yu-cheng;ZHANG Peng(College of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China;School of Science,Guizhou Institute of Engineering and Application Technology,Bijie 551700,China;School of Mathematics,Zunyi Normal Univer-sity,Zunyi 563006,China)
出处
《遵义师范学院学报》
2024年第1期91-98,共8页
Journal of Zunyi Normal University
基金
国家自然科学基金(No.11861021
No.11661021
No.12061021)
毕节市科学技术基金(毕科联合[2023]26号)。