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      Regularity of the plurisubharmonic envelope in strictly pseudoconvex domains

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          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.

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          A new capacity for plurisubharmonic functions

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            Fully Nonlinear Elliptic Equations

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              The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations

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                Author and article information

                Journal
                2017-03-22
                Article
                1703.07727
                51620280-b94e-4489-a660-01f1397a4da8

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                15 pages
                math.CV math.AP

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