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.
SYMMETRY RESULTS FOR COOPERATIVE ELLIPTIC SYSTEMS VIA LINEARIZATION / Lucio, Damascelli; Pacella, Filomena. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 45:3(2013), pp. 1003-1026. [10.1137/110853534]
SYMMETRY RESULTS FOR COOPERATIVE ELLIPTIC SYSTEMS VIA LINEARIZATION
PACELLA, Filomena
2013
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 allegati a questo prodotto
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