We consider a family of interaction functionals consisting of power-law potentials with attractive and repulsive parts and use the concentration compactness principle to establish the existence of global minimizers. We consider various minimization classes, depending on the signs of the repulsive and attractive power exponents of the potential. In the special case of quadratic attraction and Newtonian repulsion we characterize in detail the ground state.


具有竞争吸引势和排斥势的相互作用泛函的极小子

Razvan C.Fetecau公司

伊桑托帕洛格鲁

Rustum Choksi公司

摘要

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