On symmetry in elliptic systems
- 1 April 1991
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 41 (1-4) , 1-9
- https://doi.org/10.1080/00036819108840012
Abstract
We prove symmetry of positive solutions of quasimonotone elliptic systems. We show by counterexamples that quasimonotonicity of the systems and positivity of solutions are necessary for solutions to be symmetric. We consider solutions in both bounded domains and in the entire space. We also point out an error in a published paperKeywords
This publication has 3 references indexed in Scilit:
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- The Existence of Solitary Traveling Wave Solutions of a Model of the Belousov-Zhabotinskii ReactionSIAM Journal on Applied Mathematics, 1979
- Symmetry and related properties via the maximum principleCommunications in Mathematical Physics, 1979