Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 63, pp. 1-10.

Title:  On the multiplicity of solutions for a fully nonlinear 
        Emden-Fowler equation
   
Author: Marco Squassina (Univ. Cattolica, Brescia, Italy)
         
Abstract:  
 We are concerned with the existence of two solutions for a 
 fully nonlinear Emden-Fowler type equation.
 One solution is obtained via local minimization while
 the second solution follows by a mountain pass argument.
 A non-existence result in strictly star-shaped
 domains is also proven. 

Submitted April 4, 2001. Published October 3, 2001.
Math Subject Classifications: 35D05, 58E05.
Key Words: 
Trudinger-Moser inequality; Euler's equations;
            exponential growth; Palais-Smale condition