A necessary and sufficient condition for H\"older-class solutions to the complex Monge--Amp\`ere equation
Abstract
We provide a necessary and sufficient condition for the existence of H\"older continuous solutions to the complex Monge--Amp\`ere equation on bounded domains in Cn. This condition is motivated by a paper by S.-Y. Li. We also prove a result on the regularity of solutions to the complex Monge--Amp\`ere equation on general B-regular domains in Cn.
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