A highly deformable capacitor made of a soft dielectric and two conformal
electrodes can switch between two states discontinuously, by a first-order transition, as the total
charge varies gradually. When the total charge is small, it spreads evenly over the area of the
capacitor, and the capacitor deforms homogeneously. When the total charge is large, it localizes in
a small region of the capacitor, and this region thins down preferentially. The capacitor will
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