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We consider a semilinear elliptic equation with a spherically symmetric potential (specifically, Thomas-Fermi-Dirac-von Weizsäcker type equations without electronic repulsion). Assuming some regularity properties of the solutions at the origin and at infinity, we prove that the solutions have spherical symmetry.doi:10.1090/s0002-9947-1990-0974511-2 fatcat:div5g3fc5ngxnjxzcfb6es26oa