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...
Auteurs principaux: | Carrillo, JA, Mateu, J, Mora, MG, Rondi, L, Scardia, L, Verdera, J |
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Format: | Journal article |
Langue: | English |
Publié: |
Springer
2021
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