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arXiv · 1007.0076

Viscosity solutions to degenerate Complex Monge-Ampère equations

Philippe Eyssidieux·Vincent Guedj·Ahmed Zeriahi
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Abstract

We develop an alternative approach to Degenerate complex Monge-Ampère equations on compact Kähler manifolds based on the concept of viscosity solutions and compare systematically viscosity concepts with pluripotential theoretic ones. We generalize to the Kähler 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.

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Philippe Eyssidieux, Vincent Guedj, Ahmed Zeriahi. 2010-07-01. Viscosity solutions to degenerate Complex Monge-Ampère equations. https://doi.org/10.1002/cpa.20364

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