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arXiv · 1209.5581

A symmetry result for semilinear cooperative elliptic systems

L. Damascelli·F. Gladiali·F. 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 R^N, with N greather or equal than 2. More precisely we prove that solutions having Morse index j smaller than N are foliated Schwarz symmetric if the nonlinearity has a convex derivative and a full coupling condition is satisfied along the solution.

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L. Damascelli, F. Gladiali, F. Pacella. 2012-09-25. A symmetry result for semilinear cooperative elliptic systems. https://arxiv.org/abs/1209.5581

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