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Under appropriate assumptions, we show that all bounded entire solutions to aclass of semilinear elliptic systems are confined in a convex domain. Moreover,we prove a Liouville type theorem in the case where the domain is strictlyconvex. Our result represents an extension, under less regularity assumptions,of a recent result of Smyrnelis. We also provide several applications.

On the confinement of bounded entire solutions to a class of semilinear elliptic systems