The equilibrium measure for an anisotropic nonlocal energy

In this paper we characterise the minimisers of a one-parameter family of nonlocal and anisotropic energies 𝐼𝛼 defined on probability measures in ℝ𝑛, with 𝑛≥3. The energy 𝐼𝛼 consists of a purely nonlocal term of convolution type, whose interaction kernel reduces to the Coulomb potential for 𝛼=0 and...

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Detalhes bibliográficos
Principais autores: Carrillo, JA, Mateu, J, Mora, MG, Rondi, L, Scardia, L, Verdera, J
Formato: Journal article
Idioma:English
Publicado em: Springer 2021