Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains

Abstract

We study the plurisubharmonic envelopes of functions in the setting of domains in ${\mathbb{C}}^n$. In particular we prove a complex analogue of a result of De Philippis and Figalli concerning the optimal regularity of such envelopes in smooth strictly pseudoconvex domains.

There is a mistake in the proof of main result

References in corpus (1)

• Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds