Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 92, pp. 1-11.

Title: Existence results for nonlinear elliptic equations in 
       bounded domains of $R^n$

Author: Malek Zribi (Faculte des sciences de tunis, Tunisia)
	 
Abstract: 
 We establish existence results for the boundary-value problem  
 $\Delta u+f(.,u)=0$ in a smooth bounded domain in $\mathbb{R}^n$ 
 $(n\geq 2)$, where  $f$ satisfies some appropriate conditions 
 related to a Kato class. The proofs are based on various 
 techniques related to potential theory.
 
Submitted  May 4, 2006. Published August 15, 2006.
Math Subject Classifications: 34B27, 34J65.
Key Words: Green function; elliptic equation; positive solutions.