Geodesic
Picone's identity and the moving plane procedure
Electronic journal of differential equations, Tome 1995 (1995) no. 14
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.
Classification : 35B05, 35J60
Keywords: symmetry, positive solutions, nonlinear elliptic, moving plane, spectral theory, Picone's identity 
@article{EJDE_1995__1995_14_a0,
     author = {Allegretto,  Walter and Siegel,  David},
     title = {Picone's identity and the moving plane procedure},
     journal = {Electronic journal of differential equations},
     year = {1995},
     volume = {1995},
     number = {14},
     zbl = {0885.35004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1995__1995_14_a0/}
}
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Allegretto,  Walter; Siegel,  David. Picone's identity and the moving plane procedure. Electronic journal of differential equations, Tome 1995 (1995) no. 14. http://geodesic.mathdoc.fr/item/EJDE_1995__1995_14_a0/