14 citations · 39 across the 27 of their papers we have counts for
29 papers
Nonlocal anisotropic interactions of Coulomb type
Maria Giovanna Mora
In this paper we review some recent results on nonlocal interaction problems. The focus is on interaction kernels that are anisotropic variants of the classical Coulomb kernel. In…
Explicit minimisers for anisotropic Coulomb energies in 3D
Joan Mateu, Maria Giovanna Mora, Luca Rondi +2
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 Fouri…
Pressure live loads and the variational derivation of linear elasticity
Maria Giovanna Mora, Filippo Riva
The rigorous derivation of linear elasticity from finite elasticity by means of Gamma-convergence is a well-known result, which has been extended to different models also beyond th…
Stability of ellipsoids as the energy minimisers of perturbed Coulomb energies
Joan Mateu, Maria Giovanna Mora, Luca Rondi +2
In this paper we characterise the minimiser for a class of nonlocal perturbations of the Coulomb energy. We show that the minimiser is the normalised characteristic function of an…
Stability of boundary conditions for the Sadowsky functional
Lorenzo Freddi, Peter Hornung, Maria Giovanna Mora +1
It has been proved by the authors that the (extended) Sadowsky functional can be deduced as the Gamma-limit of the Kirchhoff energy on a rectangular strip of height ,…
Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces
Cy Maor, Maria Giovanna Mora
We rigorously derive linear elasticity as a low energy limit of pure traction nonlinear elasticity. Unlike previous results, we do not impose any restrictive assumptions on the for…