Electronic Journal of Differential Equations: 
Vol. 1995(1995), No. 14, pp 1--13.

Title: Picones's Identity and the Moving Plane Procedure

Authors: W. Allegretto (Univ. of Alberta,  Canada)
         D. Siegel     (Univ. of Waterloo,  Canada)

Abstract: Positive solutions of a class of nonlinear elliptic 
partial differential equations are shown to be symmetric by means 
of the moving plane argument coupled with Spectral Theory results
and Picone's Identity.  The method adapts easily to situations 
where the moving plane procedure gives rise to variational 
problems with positive eigenfunctions.

Submitted April 15, 1995. Published October 6 ,1995.
Math Subject Classification: 35B05, 35J60.
Key Words: symmetry; positive solutions; nonlinear elliptic; 
           moving plane; Spectral Theory; Picone's Identity.