Research
Research interests
Calculus of Variations
Partial Differential Equations
Mechanics of deformable solids
Self-similarity in coagulation equations
Publications and Preprints
Most of the preprints of my papers can be also downloaded at this page
Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies
with F. Iurlano (submitted)
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Stability of the ball for attractive - repulsive energies
with R. Cristoferi, I. Topaloglu. SIAM J. Math. Anal. 56(1) (2024), 588-615
Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity
with R. Cristoferi. J. Nonlinear Sci 32, 93 (2022)
Riesz-type inequalities and overdetermined problems for triangles and quadrilaterals
with R. Cristoferi, I. Topaloglu. J. Geom. Anal. 32:48 (2022)
Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models
with S. Conti, F. Iurlano. Arch. Ration. Mech. Anal. 239 (2021), 1501-1576
Minimality of polytopes in a nonlocal anisotropic isoperimetric problem
with R. Cristoferi, I. Topaloglu. Nonlinear Anal. 205 (2021), 112223
Solutions with peaks for a coagulation-fragmentation equation. Part II: aggregation in peaks
with B. Niethammer, J.J.L. Velázquez. Ann. Inst. H. Poincaré Anal. Non Linéaire 38(3) (2021), 601-646
Solutions with peaks for a coagulation-fragmentation equation. Part I: stability of the tails
with B. Niethammer, J.J.L. Velázquez. Comm. Partial Differential Equations 45(5) (2020), 351-391
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
with E. Davoli, M. Morandotti. NoDEA Nonlinear Differential Equations Appl. 26(5):36 (2019)
Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one
with B. Niethammer, J.J.L. Velázquez. Arch. Ration. Mech. Anal. 233(1) (2019), 1-43
Self-similar gelling solutions for the coagulation equation with diagonal kernel
with B. Niethammer, J.J.L. Velázquez. Ann. Inst. H. Poincaré Anal. Non Linéaire 36(3) (2019), 705-744
Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity smaller than one
with B. Niethammer, J.J.L. Velázquez. Comm. Partial Differential Equations 43(1) (2018), 82-117
Ground states of a ternary system including attractive and repulsive Coulomb-type interactions
with H. Knüpfer. Calc. Var. Partial Differential Equations 55(5):114 (2016)
Optimal distribution of oppositely charged phases: perfect screening and other properties
with H. Knüpfer, M. Röger. SIAM J. Math. Anal. 48(2) (2016), 1128-1154
Local and global minimality issues for a nonlocal isoperimetric problem on R^N
with R. Cristoferi. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 27(1) (2016), 37-50
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Stable regular critical points of the Mumford–Shah functional are local minimizers
with M. Morini. Ann. Inst. H. Poincaré Anal. Non Linéaire 32(3) (2015), 533-570
Stability of equilibrium configurations for elastic films in two and three dimensions
Adv. Calc. Var. 8(2) (2015), 117-153
Local and global minimality results for a nonlocal isoperimetric problem on R^N
with R. Cristoferi. SIAM J. Math. Anal. 46(4) (2014), 2310-2349
Epitaxially strained elastic films: the case of anisotropic surface energies
ESAIM: Control Optim. Calc. Var. 19 (2013), 167-189