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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron: Carrillo, JA, Mateu, J, Mora, MG, Rondi, L, Scardia, L, Verdera, J
Fformat: Journal article
Iaith:English
Cyhoeddwyd: Springer 2021