The complex Monge-Amp\'{e}re equation on the complement of a divisor
classification
🧮 math.DG
keywords
equationmonge-ampcomplexdivisorhandrightsidewhen
read the original abstract
We consider the complex Monge-Amp\'{e}re equation on complete K\"{a}hler manifolds with cusp singularity along a divisor when the right hand side $F$ has rather weak regularity. We proved that when the right hand side $F$ is in some \emph{weighted} $W^{1,p_0}$ space for $p_0 > 2n$, the Monge-Amp\'{e}re equation has a classical $W^{3,p_0}$ solution.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.