摘要
We consider the singular Dirichlet problem for the Monge-Ampère type equation■=0,whereΩis a strictly convex and bounded smooth domain in■is positive and strictly decreasing in(0,∞)with■is positive inΩ.We obtain the existence,nonexistence and global asymptotic behavior of the convex solution to such a problem for more general b and g.Our approach is based on the Karamata regular variation theory and the construction of suitable sub-and super-solutions.
作者
Zhijun ZHANG
Bo ZHANG
张志军;张博(School of Mathematics and Information Science,Yantai University,Yantai,264005,China)
基金
supported by Shandong Provincial NSF(ZR2022MA020).
