Regularity of local minimizers of the interaction energy via obstacle problems

The repulsion strength at the origin for repulsive/attractive potentials determines the regularity of local minimizers of the interaction energy. In this paper, we show that if this repulsion is like Newtonian or more singular than Newtonian (but still locally integrable), then the local minimizers...

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Hlavní autoři: Carrillo de la Plata, JA, Delgadino, MG, Mellet, A
Médium: Journal article
Jazyk:English
Vydáno: Springer Science and Business Media LLC 2016