We provide a symmetry result for n-mode positive solutions of a general class of semilinear 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.
Shioji, N., Squassina, M., Symmetry of n-mode positive solutions for two dimensional Henon type systems, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2013; 405 (N/A): 128-134 [http://hdl.handle.net/10807/88987]
Symmetry of n-mode positive solutions for two dimensional Henon type systems
Squassina, MarcoUltimo
2013
Abstract
We provide a symmetry result for n-mode positive solutions of a general class of semilinear 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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