Estimates for the p-Laplacian-type operator in the subcritical Sobolev exponent range

We obtain Calderón–Zygmund-type gradient estimates below the duality exponent of very weak solutions to p-Laplacian-type elliptic equations with non-divergence datum by providing an analytic approach without using the fractional maximal function of order 1 for the non-divergence datum.     

Copolymerization of ethylene with allylbenzene using rac-ethylenebis(indenyl)zirconium dichloride/methylaluminoxane as a catalyst

Ethylene was copolymerized with allylbenzene using rac-ethylenebis(indenyl)zirconium dichloride (Et(Ind)₂ZrCl₂)/methylaluminoxane (MAO) as a catalyst. Analysis of the copolymers obtained revealed that chain transfer to aluminium was a preferred chain transfer reaction during the copolymerization. It seems that chain termination through aluminium transfer is induced by the allylbenzene unit incorporated in the propagating chain end. Hydroxy-terminated ethylene copolymers were obtained when the copolymer solution was exposed to air before precipitation of the polymer in acidic methanol.