In this paper we prove symmetry results for classical solutions of nonlinear cooperative elliptic systems in a ball or in an annulus in R-N, N >= 2. More precisely we prove that solutions having Morse index j <= N are foliated Schwarz symmetric if the nonlinearity is convex and a full coupling condition is satisfied along the solution.
Damascelli, L., Pacella, F. (2013). SYMMETRY RESULTS FOR COOPERATIVE ELLIPTIC SYSTEMS VIA LINEARIZATION. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 45(3), 1003-1026 [10.1137/110853534].
SYMMETRY RESULTS FOR COOPERATIVE ELLIPTIC SYSTEMS VIA LINEARIZATION
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 an annulus in R-N, N >= 2. More precisely we prove that solutions having Morse index j <= N are foliated Schwarz symmetric if the nonlinearity is convex and a full coupling condition is satisfied along the solution.File in questo prodotto:
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