Non-spherical solutions bifurcate from balls for an unbounded sequence of radii in nonlocal isoperimetric problems, while outside this sequence nearby solutions arise only from rigid motions.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
In the small-mass regime, volume-constrained minimizers of the hybrid Ḣ¹ + Ḣ^{-1} energy exist and are C^{2,α} perturbations of a ball.
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Bifurcations in Isoperimetric Problems with Nonlocal Interactions
Non-spherical solutions bifurcate from balls for an unbounded sequence of radii in nonlocal isoperimetric problems, while outside this sequence nearby solutions arise only from rigid motions.
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Existence and Regularity in the Small-Mass Regime for a Hartree--Ohta-Kawasaki Shape Optimization Problem
In the small-mass regime, volume-constrained minimizers of the hybrid Ḣ¹ + Ḣ^{-1} energy exist and are C^{2,α} perturbations of a ball.