%0 Journal Article
%T Existence of weak solutions for nonlinear elliptic systems on $R^N$
%A Eada A. El-Zahrani
%A Hassan M. Serag
%J Electronic Journal of Differential Equations
%D 2006
%I Texas State University
%X In this paper, we consider the nonlinear elliptic system $$displaylines{ -Delta_pu=a(x)|u|^{p-2}u-b(x)|u|^alpha|v|^eta v+f,cr -Delta_qv=-c(x)|u|^alpha |v|^eta u + d(x) |v|^{q-2}v +g ,cr lim_{|x|oinfty}u=lim_{|x|oinfty}v=0quad u,v>0 }$$ on a bounded and unbounded domains of mathbb{R}^N, where $Delta_p$ denotes the p-Laplacian. The existence of weak solutions for these systems is proved using the theory of monotone operators
%K Weak solutions
%K nonlinear elliptic systems
%K p-Laplacian
%K monotone operators.
%U http://ejde.math.txstate.edu/Volumes/2006/69/abstr.html