Plurisubharmonic envelopes and supersolutions

15 Mar 2017 Guedj Vincent Lu Chinh H. Zeriahi Ahmed

We make a systematic study of (quasi-)plurisubharmonic envelopes on compact K\"ahler manifolds, as well as on domains of $\mathbb{C}^n$, by using and extending an approximation process due to Berman [Ber13]. We show that the quasi-psh envelope of a viscosity super-solution is a pluripotential super-solution of a given complex Monge-Amp\`ere equation... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • COMPLEX VARIABLES
  • ANALYSIS OF PDES
  • DIFFERENTIAL GEOMETRY