摘要
In the present paper, we consider the problem {-△u=u^(β_(1))|■u|^(β_(2)),in Ω,u=0,on ■Ω,u>0,in Ω,(0.1) where β_(1), β_(2) > 0 and β_(1) + β_(2) < 1, and Ω is a convex domain in R~n. The existence, uniqueness,regularity and (2-β_(2))/(1-β_(1)-β_(2))-concavity of the positive solutions of the problem(0.1) are proven.
作者
陈博
陈正茂
谢君辉
Bo CHEN;Zhengmao CHEN;Junhui XIE(School of Mathematics and Statistics,Hubei Minzu University,Enshi,445000,China;School of Mathematics and Information Science,Guangzhou University,Guangzhou,510006,China)
基金
The first author and the third author were supported by the National Natural Science Foundation of China (11761030)
the Cultivation Project for High-Level Scientific Research Achievements of Hubei Minzu University (PY20002)
The second author was supported by the China Postdoctoral Science Foundation (2021M690773)。
