%0 Journal Article %T Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems %A Ali Djellit %A Mohand Moussaoui %A Saadia Tas %J Electronic Journal of Differential Equations %D 2010 %I Texas State University %X In this article we study elliptic systems called asymptotically homogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we obtain radial positive solutions vanishing at infinity. %K p-Laplacian operator %K nonvariational system %K blow up method %K Leray-Schauder topological degree %U http://ejde.math.txstate.edu/Volumes/2010/54/abstr.html