On global minimizers of repulsive–attractive power-law interaction energies
نویسندگان
چکیده
منابع مشابه
On global minimizers of repulsive–attractive power-law interaction energies
We consider the minimization of the repulsive-attractive power-law interaction energies that occur in many biological and physical situations. We show the existence of global minimizers in the discrete setting and obtain bounds for their supports independently of the number of Dirac deltas in a certain range of exponents. These global discrete minimizers correspond to the stable spatial profile...
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ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2014
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2013.0399