In this paper, we consider the existence of a non-trivial weaksolution to a quasilinear elliptic system involving critical Hardyexponents. The main issue of the paper is to understand thebehavior of these Palais-Smale sequences. Indeed, the principaldifficulty here is that there is an asymptotic competition betweenthe energy functional carried by the critical nonlinearities. Thenby the variatio...

In a recent Letter [1] the EoS collaboration presented data of fragmentation of 1 A GeV gold nuclei incident on carbon. By analyzing moments of the fragment charge distribution, the authors claim to determine the values of the critical exponents γ, β, and τ for finite nuclei. These data represent a crucial step forward in our understanding of the physics of nuclear fragmentation. However, as we...

During modern era of critical phenomena, several inequalities between critical exponents have been derived. However most of these inequalities depend on some assumptions. Beside this, some of these inequalities can be replaced by equalities. Several solved classical models as well as some recent theories have helped us to check the validity of these inequalities. To check these inequalities in ...

The exponent P that describes the sinusoidally modulate d * paramagnetic phase transition crosses over from a value of 0.39 near TN to a mean field value away from TN. Electrical resistivity measurements near TN are given for the c axis and the critical behaviour is discussed. Erbium orders below its NBel temperature TN= 85 K with its spins directed along the c axis of the hcp crystal and with ...