Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems
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n-modepositivesolutionssystemsclassenonresultsymmetry
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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 H\'enon systems and provide the existence of multiple n-mode positive solutions.
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