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arXiv · 1206.3926

Symmetry results for cooperative elliptic systems via linearization

Lucio Damascelli·Filomena Pacella
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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 \geq 2 $. More precisely we prove that solutions having Morse index $j \leq N $ are foliated Schwarz symmetric if the nonlinearity is convex and a full coupling condition is satisfied along the solution.

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Lucio Damascelli, Filomena Pacella. 2012-06-18. Symmetry results for cooperative elliptic systems via linearization. https://arxiv.org/abs/1206.3926

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