7 citations · 7 across the 3 of their papers we have counts for
5 papers
Symmetry breaking in the liquid drop model with screened interactions
Lia Bronsard, Benoît Merlet, Marc Pegon
We investigate liquid drop models with screened Riesz-type interactions, focusing in particular on truncated Coulomb and Yukawa potentials in three dimensions. While in the classic…
Uniform -regularity for almost-minimizers of some nonlocal perturbations of the perimeter
Michael Goldman, Benoît Merlet, Marc Pegon
In this paper, we establish a -regularity theorem for almost-minimizers of the functional , where and $P_{\vare…
Compactness and structure of zero-states for unoriented Aviles-Giga functionals
Michael Goldman, Benoit Merlet, Marc Pegon +1
Motivated by some models of pattern formation involving an unoriented director field in the plane, we study a family of unoriented counterparts to the Aviles-Giga functional. We in…
Large mass rigidity for a liquid drop model in 2D with kernels of finite moments
Benoit Merlet, Marc Pegon
Motivated by Gamow's liquid drop model in the large mass regime, we consider an isoperimetric problem in which the standard perimeter is replaced by …
Large mass minimizers for isoperimetric problems with integrable nonlocal potentials
Marc Pegon
This paper is concerned with volume-constrained minimization problems derived from Gamow's liquid drop model for the atomic nucleus, involving the competition of a perimeter term a…