The critical-volume conjecture for the nonlocal isoperimetric problem in Euclidean space
Critical-volume conjecture. For m≤m∗m\leq m_{*}m≤m∗, the ball of volume mmm uniquely minimizes E(⋅)\mathcal{E}(\cdot)E(⋅) among measurable sets F⊂RnF\subset\mathbb{R}^nF⊂Rn with ∣F∣=m|F|=m∣F∣=m, and for…
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