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 [6, 9, 16, 18].
Sectional symmetry of solutions of elliptic systems in cylindrical domains / Damascelli, L.; Pacella, F.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 40:6(2020), pp. 3305-3325. [10.3934/dcds.2020045]
Sectional symmetry of solutions of elliptic systems in cylindrical domains
Pacella F.
2020
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 [6, 9, 16, 18].File allegati a questo prodotto
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