Non-spherical equilibrium shapes in the liquid drop model

Abstract

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.

25 pages; contribution to the proceedings of the ICMP 2018; second version contains more precise energy asymptotics (new Theorem 6)

References in corpus (1)

• Periodic energy minimizers for a one-dimensional liquid drop model

Cited by in corpus (2)

• On the Ternary Ohta-Kawasaki Free Energy and Its One-dimensional Global Minimizers
• Bifurcation and fission in the liquid drop model: a phase-field approach