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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Carrillo, JA, Mateu, J, Mora, MG, Rondi, L, Scardia, L, Verdera, J
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Springer 2021