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Frank, Rupert L. (2019): Non-spherical equilibrium shapes in the liquid drop model. In: Journal of Mathematical Physics, Vol. 60, No. 7, 071506
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We prove the existence of a family of volume-constrained critical points of the liquid drop functional, which are cylindrically but not spherically symmetric. This family bifurcates from the ball and exchanges stability with it. We justify a formula of Bohr and Wheeler for the energy of these sets. Published under license by AIP Publishing.