简介：FortheMonge-Amp`ereequationdetD2u=1,theauthorsfindnewauxiliarycurvaturefunctionswhichattaintheirrespectivemaximaontheboundary.Moreover,theupperboundedestimatesfortheGausscurvatureandthemeancurvatureofthelevelsetsforthesolutiontothisequationareobtained.
Curvature Estimates for the Level Sets of Solutions to the Monge-Ampère Equation det D2u= 1
