On the envelope of Poisson functional on almost complex manifolds

Abstract

We establish the plurisubharmonicity of the envelope of the Poisson functional on almost complex manifolds. That is, we generalize the corresponding result for complex manifolds and almost complex manifolds of complex dimension two.

15 pages; Updated in Oct 2025. This is a corrected version of arXiv:1412.5468, the methods in the proof are new;