Generalized Monge-Amp\`ere capacities
  We study various capacities on compact K\"{a}hler manifolds which generalize the Bedford-Taylor Monge-Amp\`ere capacity. We then use these capacities to study the existence and the regularity of solutions of complex Monge-Amp\`ere equations. 
Eleonora Di Nezza and Chinh H. Lu
math.CV math.AP math.DG