Picone's Identity and the Moving Plan Procedure
Date
1995-10-06
Authors
Allegretto, Walter
Siegel, David
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
symmetry, positive solutions, nonlinear elliptic, moving plane, spectral theory, Picone's identity
Citation
Allegretto, W. & Siegel, D. (1995). Picone's identity and the moving plan procedure. Electronic Journal of Differential Equations, 1995(14), pp. 1-13.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.