Muhammed Ali Alan
Abstract: We analyze the supports of weighted equilibrium measures in $\mathbb C^n$. We give explicit examples of families of compact sets which arise as the support of a weighted equilibrium measure for some admissible weight $w$. These examples also give new constructions of plurisubharmonic functions in the Lelong class. We also include a list of open problems on the support of extremal measures which are related to solutions of Monge–Ampère equations.
Journal: Potential Analysis 38 (2013), no. 2, 457–470.
URL: dx.doi.org/10.1007/s11118-012-9281-1