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}.
Damascelli, L., Pacella, F. (2020). Sectional symmetry of solutions of elliptic systems in cylindrical domains. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 40(6), 3305-3325 [10.3934/dcds.2020045].
Sectional symmetry of solutions of elliptic systems in cylindrical domains
Damascelli,L;
2020-01-01
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}.File in questo prodotto:
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