The aim of this paper is twofold. Based on the geometric Wasserstein tangent space, we first
introduce Wasserstein steepest descent flows. These are locally absolutely continuous …

For the interaction energy with repulsive–attractive potentials, we give generic conditions
which guarantee the radial symmetry of the local minimizers in the infinite Wasserstein …

In this paper we consider a general class of anisotropic energies in three dimensions and
give a complete characterisation of their minimisers. We show that, depending on the …

We study a large family of Riesz‐type singular interaction potentials with anisotropy in two
dimensions. Their associated global energy minimizers are given by explicit formulas whose …

In this paper we derive a line tension model for dislocations in 3D starting from a
geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as …

We solve explicitly a certain minimization problem for probability measures involving an
interaction energy that is repulsive at short distances and attractive at large distances. We …

In this paper we characterise the minimisers of a one-parameter family of nonlocal and
anisotropic energies I α defined on probability measures in R n, with n≥ 3. The energy I α …

In this paper we consider a nonlocal energy I α whose kernel is obtained by adding to the
Coulomb potential an anisotropic term weighted by a parameter α ∈ R α∈ R. The case α= 0 …

We study a large family of axisymmetric Riesz-type singular interaction potentials with
anisotropy in three dimensions. We generalize some of the results of the recent work [JA …

We are concerned with a variant of the isoperimetric problem, which in our setting arises in a
geometrically nonlinear two-well problem in elasticity. More precisely, we investigate the …