%0 Journal Article %T Existence of entire positive solutions for a class of semilinear elliptic systems %A Zhijun Zhang %J Electronic Journal of Differential Equations %D 2010 %I Texas State University %X Under simple conditions on $f_i$ and $g_i$, we show the existence of entire positive radial solutions for the semilinear elliptic system $$displaylines{ Delta u =p(|x|)f_1(v)f_2(u)cr Delta v =q(|x|)g_1(v)g_2(u), }$$ where $xin mathbb{R}^N$, $Ngeq 3$, and p,q are continuous functions. %K Semilinear elliptic systems %K entire solutions %K existence %U http://ejde.math.txstate.edu/Volumes/2010/16/abstr.html