【摘 要】
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We consider existence and properties of minimizers for a class of nonlocal functionals consisting of power-law attractive and repulsive potentials.We will address different cases where these functiona
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We consider existence and properties of minimizers for a class of nonlocal functionals consisting of power-law attractive and repulsive potentials.We will address different cases where these functionals are defined over measures,functions,and binary functions(set interactions).Comparison will be made with minimizers of a high-order isoperimetric problem with nonlocal interactions of Coulombic type.
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