Symmetry of n-mode positive solutions for two-dimensional Hénon type systems

We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of Hénon systems and provide the existence of multiple n-mode positive solutions.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2013-09, Vol.405 (1), p.128-134
Main Authors: Shioji, Naoki, Squassina, Marco
Format: Article
Language:English
Subjects:
[formula omitted]-mode positive solutions
Hénon type systems
Radial symmetry
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Description
Summary:We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of Hénon systems and provide the existence of multiple n-mode positive solutions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2013.03.056