Convergence in capacity of plurisubharmonic functions with given boundary values

Abstract

In this paper, we study the convergence in the capacity of sequence of plurisubharmonic functions. As an application, we prove stability results for solutions of the complex Monge–Ampère equations.

Semi-continuity properties of weighted log canonical thresholds of toric plurisubharmonic functions

“…Some elements of pluripotential theory that are used in the following are given by [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”