Abstract. In this paper we prove symmetry results for classical solutions of nonlinear cooperative elliptic systems in a ball or in annulus in RN, N 2. More precisely we prove that solutions having Morse index j N1 are foliated Schwarz symmetric if the nonlinearity has a convex derivative and a full coupling condition is satised along the solution.
A symmetry result for semilinear cooperative elliptic systems / Lucio, Damascelli; Francesca, Gladiali; Pacella, Filomena. - STAMPA. - 595(2013), pp. 187-204. - CONTEMPORARY MATHEMATICS. [10.1090/conm/595/11802].
A symmetry result for semilinear cooperative elliptic systems
PACELLA, Filomena
2013
Abstract
Abstract. In this paper we prove symmetry results for classical solutions of nonlinear cooperative elliptic systems in a ball or in annulus in RN, N 2. More precisely we prove that solutions having Morse index j N1 are foliated Schwarz symmetric if the nonlinearity has a convex derivative and a full coupling condition is satised along the solution.File allegati a questo prodotto
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