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Symmetry results for nonvariational quasi-linear elliptic systems. (English) Zbl 1227.35036
Summary: By virtue of a weak comparison principle in small domains we prove axial symmetry in convex and symmetric smooth bounded domains as well as radial symmetry in balls for regular solutions of a class of quasi-linear elliptic systems in non-variational form. Moreover, in the two-dimensional case, we study the system when set in a half-space.

MSC:
35B06 Symmetries, invariants, etc. in context of PDEs
35J57 Boundary value problems for second-order elliptic systems
35J62 Quasilinear elliptic equations
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