Partial pluricomplex energy and integrability exponents of   plurisubharmonic functions
  We give a sufficient condition on the Monge-Amp\`ere mass of a plurisubharmonic function $u$ for $\exp (- 2 u)$ to be locally integrable. This gives a pluripotential theoretic proof of a theorem by J-P. Demailly. 
P. {\AA}hag, U. Cegrell, S. Ko{\l}odziej, H.H. Pham and A. Zeriahi