Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 49, pp. 1-10.

Title: Multiple solutions for inhomogeneous nonlinear
       elliptic problems arising in astrophyiscs
       
Authors: Marco Calahorrano (Escuela Politecnica Nacional, Quito, Ecuador)
 Hermann Mena (Escuela Politecnica Nacional, Quito, Ecuador)

Abstract: 
 Using variational methods we prove the existence and multiplicity
 of solutions for some  nonlinear inhomogeneous elliptic
 problems on a bounded domain in $\mathbb{R}^n$, with $n\geq 2$ and
 a smooth boundary, and when the domain is $\mathbb{R}_+^n$
  
Submitted May 15, 2003. Published April 6, 2004.
Math Subject Classifications: 35J65, 85A30, 35J20.
Key Words: Solar flares; variational methods; inhomogeneous nonlinear 
           elliptic problems.