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 ≤ N − 1 are foliated Schwarz symmetric if the nonlinearity has a convex derivative and a full coupling condition is satisfied along the solution.
Damascelli, L., Gladiali, F., Pacella, F. (2013). A symmetry result for semilinear cooperative elliptic systems. In J.B. Serrin, E.L. Mitidieri, V.D. Rădulescu (a cura di), Recent trends in nonlinear partial differential equations 2.: stationary problems (pp. 187-204). AMS [10.1090/conm/595/11802].
A symmetry result for semilinear cooperative elliptic systems
DAMASCELLI, LUCIO;
2013-01-01
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 ≤ N − 1 are foliated Schwarz symmetric if the nonlinearity has a convex derivative and a full coupling condition is satisfied along the solution.| File | Dimensione | Formato | |
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