L. Martinazzi, M. Petrache:
Existence of solutions to a higher dimensional mean-field equation on
  manifolds
Manuscripta Math. (Accepted Paper) 2010

L. Martinazzi, M. Petrache:
Asymptotics and quantization for a mean-field equation of higher order
Comm. Partial Differential Equations Vol. 35, p. 1-22, 2010

M. Petrache, T. Rivière:
Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions
Geometric and Functional Analysis Vol. 21, N. 6, p. 1419-1442, 2011

M. Petrache:
Notes on a slice distance for singular $L^p$-bundles
(Preprint) 2012

M. Petrache:
Interior partial regularity for minimal $L^p$-vectorfields with integer fluxes
(Accepted Paper) 2012

M. Petrache, T. Rivière:
Global gauges and global extensions in optimal spaces
(Preprint) 2013

M. Petrache, T. Rivière:
The resolution of the Yang-Mills Plateau problem in super-critical dimensions
(Preprint) 2013

L. Brasco, M. Petrache:
A continuous model of transportation revisited
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (Accepted Paper) Vol. 411, p. 5-37, 2013

M. Petrache:
An integrability result for $L^p$-vectorfields in the plane 
 Advances in Calculus of Variations Vol. Volume 6, N. 3, p. 299319, 2013

M. Petrache:
A singular radial connection over B minimizing the Yang-Mills energy
(Preprint) 2013

M. Petrache, R. Züst:
Matchings in metric spaces, the dual problem and calibrations modulo 2
(Submitted Paper) 2014

M. Petrache, S. Serfaty:
Next-order asymptotics and renormalized energy for Riesz interactions
(Submitted Paper) 2014

M. Petrache:
Decorrelation as an avatar of convexity
(Submitted Paper) p. 8, 2015

M. Petrache, J. Van Schaftingen:
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds
(Preprint) p. 26, 2015

L. Bétermin, M. Petrache:
Dimension reduction techniques for theta functions on lattices 
(Preprint) 2016

M. Petrache, S. Rota-Nodari:
Equidistribution of jellium energy for Coulomb and Riesz interactions
(Preprint) 2016

L. Bétermin, L. De Luca, M. Petrache:
Crystallization to the square lattice for a two body potential
Arch. Rational Mech. Anal. Vol. 240, N. 2, 2021

G. Del Nin, M. Petrache:
Continuum limits of discrete isoperimetric problems and Wulff shapes in  lattices and quasicrystal tilings
Calc. Var. PDE (Accepted Paper) 2022

A. Gerolin, M. Petrache, A. Vargas-Jimenez:
Existence and uniqueness of Monge minimizers for a Multi-marginal
  Optimal Transport problem with intermolecular interactions cost
(preprint) 2024

P. Pegon, M. Petrache:
Optimal quantization with branched optimal transport distances
(Preprint) 2024