Sectional symmetry of solutions of elliptic systems in cylindrical domains
classification
🧮 math.AP
keywords
solutionssymmetrycylindricaldomainsellipticobtainedsomesystems
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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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