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

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.2000 Mathematics Subject Classification. 35B06, 35B09, 35J15.