Allegretto, Walter; Siegel, David

Picone's identity and the moving plane procedure

Electron. J. Differ. Equ. 1995(14), Paper 14, 13 p. (1995)


Summary: 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.

Mathematics Subject Classification

35B05, 35J60


symmetry, positive solutions, nonlinear elliptic, moving plane, spectral theory, Picone's identity