Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli

We prove symmetry and monotonicity properties for local minimizers and stationary solutions of some variational problems related to semilinear elliptic equations in a cylinder $(-a,a)imes omega$, where $omega $ is a bounded smooth domain in $mathbb{R}^{N-1}$. The admissible functions satisfy periodi...

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Bibliographic Details
Main Author: Friedemann Brock
Format: Article
Language:English
Published: Texas State University 2003-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/108/abstr.html