English

Interior estimates for $p$-plurisubharmonic functions

Analysis of PDEs 2023-03-14 v2

Abstract

We study a Monge-Amp\`ere type equation in the class of pp-plurisubharmonic functions and establish first and second order interior estimates. As an application of these we show that pp-plurisubharmonic functions with constant operator and quadratic growth must be quadratic polynomials.

Keywords

Cite

@article{arxiv.2006.12979,
  title  = {Interior estimates for $p$-plurisubharmonic functions},
  author = {Slawomir Dinew},
  journal= {arXiv preprint arXiv:2006.12979},
  year   = {2023}
}

Comments

A critical mistake in the previous version is now corrected

R2 v1 2026-06-23T16:33:19.086Z