Lelong numbers of m-subharmonic functions

In this paper we study the existence of Lelong numbers of m-subharmonic currents of bidimension (p,p) on an open subset of Cn, when m+p≥n. In the special case of m-subharmonic function φ, we give a relationship between the Lelong numbers of ddcφ and the mean values of φ on spheres and balls. As an application we study the integrability exponent of φ. We express the integrability exponent of φ in terms of volume of sub-level sets of φ and we give a link between this exponent and its Lelong number.