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 Henon systems and provide the existence of multiple n-mode positive solutions.
Symmetry of n-mode positive solutions for two-dimensional Henon type systems
SQUASSINA, Marco
2013-01-01
Abstract
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 Henon systems and provide the existence of multiple n-mode positive solutions.
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