@Article{JPDE-27-333,
author = {Pingali , Vamsi P.},
title = {A Generalised Monge-Ampère Equation},
journal = {Journal of Partial Differential Equations},
year = {2014},
volume = {27},
number = {4},
pages = {333--346},
abstract = { We consider a generalised complex Monge-Ampère equation on a compact Kähler manifold and treat it using the method of continuity. For complex surfaces we prove an existence result. We also prove that (for three-folds and a related real PDE in a ball in R^3) as long as the Hessian is bounded below by a pre-determined constant (whilst moving along themethod of continuity path), a smooth solution exists. Finally, we prove existence for another real PDE in a 3-ball, which is a local real version of a conjecture of X. X. Chen.},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v27.n4.4},
url = {http://global-sci.org/intro/article_detail/jpde/5146.html}
}