Viscosity solutions to degenerate Complex Monge-Amp\`ere equations
Algebraic Geometry
2014-03-10 v1 Complex Variables
Differential Geometry
Abstract
We develop an alternative approach to Degenerate complex Monge-Amp\`ere equations on compact K\"ahler manifolds based on the concept of viscosity solutions and compare systematically viscosity concepts with pluripotential theoretic ones. We generalize to the K\"ahler case a theorem due to Dinew and Zhang in the projective case to the effect that their pluripotential solutions constructed previously by the authors are continuous.
Keywords
Cite
@article{arxiv.1007.0076,
title = {Viscosity solutions to degenerate Complex Monge-Amp\`ere equations},
author = {Philippe Eyssidieux and Vincent Guedj and Ahmed Zeriahi},
journal= {arXiv preprint arXiv:1007.0076},
year = {2014}
}