It is proved that any subharmonic function in a domain Ω ⊂ ℂⁿ which is plurisubharmonic outside of a real hypersurface of class C¹ is indeed plurisubharmonic in Ω.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-8,
author = {E. M. Chirka},
title = {On the removal of subharmonic singularities of plurisubharmonic functions},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {113-116},
zbl = {1026.32064},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-8}
}
E. M. Chirka. On the removal of subharmonic singularities of plurisubharmonic functions. Annales Polonici Mathematici, Tome 81 (2003) pp. 113-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap80-0-8/