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arXiv · 1905.02026

Sectional symmetry of solutions of elliptic systems in cylindrical domains

Lucio Damascelli·Filomena Pacella
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Abstract

In this paper we prove a kind of rotational symmetry for solutions of semilinear elliptic systems in some bounded cylindrical domains. The symmetry theorems obtained hold for low-Morse index solutions whenever the nonlinearities satisfy some convexity assumptions. These results extend and improve those obtained in \cite{DaPaSys, DaGlPa1, Pa, PaWe}.

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Lucio Damascelli, Filomena Pacella. 2019-05-03. Sectional symmetry of solutions of elliptic systems in cylindrical domains. https://arxiv.org/abs/1905.02026

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