Nonexistence of Large Nuclei in the Liquid Drop Model
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چکیده
We give a simplified proof of the nonexistence of large nuclei in the liquid drop model and provide an explicit bound. Our bound is within a factor of 2.3 of the conjectured value and seems to be the first quantitative result. We consider the minimization problem E(A) = inf{E(Ω): |Ω| = A} over all measurable set Ω ⊂ R with the energy functional E [Ω] = PerΩ + 1 2 ∫∫
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تاریخ انتشار 2016