Electronic Journal of Differential Equations,
Vol. 1993(1993), No. 07, pp. 1-6.
 
Title: The Lazer Mckenna Conjecture for Radial Solutions in the
       $R^N$ Ball

Author: Alfonso Castro (Univ. of North Texas, Denton, TX, USA)
 Sudhasree Gadam (Univ. of North Texas, Denton, TX, USA) 

Abstract: When the range of the derivative of the
nonlinearity contains the first $k$ eigenvalues of the linear part
and a certain parameter is large, we establish the existence of 2k
radial solutions to a semilinear boundary value problem.  
This proves the Lazer McKenna conjecture for radial solutions.  
Our results supplement those in [5], where the existence
of $k+1$ solutions was proven.

Submitted May 2, 1993. Published October 30, 1993.
Math Subject Classification: 34B15, 35J65.
Key Words: Lazer-McKenna conjecture; radial solutions;