Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 01, pp. 1-27.

Title: Existence of continuous and singular ground states 
       for semilinear elliptic systems 

Author: Cecilia S. Yarur (Univ. de Santiago de Chile, Chile)

Abstract: 
We study existence results of a curve of continuous and singular
ground states for the system
  $$ \eqaling{
  -\Delta{u}  &=  {\alpha(|x|)}f(v) \cr
  -\Delta{v}  &=  \beta(|x|) g(u)\,. \cr }$$ 
where $x \in R^N \setminus \{0\}$, the functions $f$ and $g$ are 
increasing Lipschitz continuous functions in $R$,
 and $\alpha$ and $\beta$ are nonnegative continuous functions in 
$R^+$. We also study general systems of the form 
  $$ \eqaling{
  \Delta u(x)+V(|x|)u+a(|x|)v^p &= 0 \cr
  \Delta v(x)+V(|x|)v+b(|x|)u^q &= 0\,.\cr} $$

Submitted September 3, 1997. Published January 16, 1998.
Math Subject Classification: 35J60, 31A35. 
Key Words: Semilinear elliptic systems; ground states.