Short curriculum vitae
Full curriculum vitae
The seminar is taking place online due to the ongoing coronavirus pandemic. Please contact Nick Alikakos for information about attending.
Applied mathematics lecture notes (in Greek)
Geometric measure theory lecture notes (in Greek)
Asymptotic behavior of the free interface for entire vector minimizers in phase transitions (with Z. Geng and A. Zarnescu)
Sharp lower bounds for the vector Allen–Cahn energy and qualitative properties of minimizers under no symmetry hypotheses (with G. Fusco)
Entire minimizers of Allen–Cahn systems with sub-quadratic potentials (with D. Gazoulis and A. Zarnescu)
A maximum principle for elliptic systems involving the fractional Laplacian (with A. N. Yannacopoulos)
Elliptic Systems of Phase Transition Type (with G. Fusco and P. Smyrnelis)
Progress in Nonlinear Differential Equations and Their Applications 91, xii+343 pp. Birkhäuser, Cham, 2018
On the structure of phase transition maps: density estimates and applications
A YouTube video of a talk at the summer school Geometric measure theory and calculus of variations: theory and applications at the Institut Fourier in Grenoble, France
Asymptotic behavior of the free interface for entire vector minimizers in phase transitions (with Z. Geng and A. Zarnescu)
To appear in the Journal of Functional Analysis
Almost entire solutions of the Burgers equation (with D. Gazoulis)
Electron. J. Differ. Equ. 2018 No. 53, pp. 1–6
Stability criteria for multiphase partitioning problems with volume constraints (with A. Faliagas)
Discrete Contin. Dyn. Syst. 37 No. 2 (2017), pp. 663–683
Asymptotic behavior and rigidity results for symmetric solutions of the elliptic system Δu − Wu(u) = 0 (with G. Fusco)
Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 15 Spec. Iss. (2016), pp. 809–836
A maximum principle for systems with variational structure and an application to standing waves (with G. Fusco)
J. Eur. Math. Soc. 17 No. 7 (2015), pp. 1547–1567
On the structure of phase transition maps for three or more coexisting phases
In Geometric partial differential equations, M. Novaga and G. Orlandi eds. pp. 1–31, CRM Series 15, Edizioni della Normale, Pisa, 2013
Plateau angle conditions for the vector-valued Allen–Cahn equation (with P. Antonopoulos and A. Damialis)
SIAM J. Math. Anal. 45 No. 6 (2013), pp. 3823–3837
A new proof for the existence of an equivariant entire solution connecting the minima of the potential for the system Δu − Wu(u) = 0
Commun. Partial Differ. Equations 37 No. 12 (2012), pp. 2093–2115
Existence of lattice solutions to semilinear elliptic systems with periodic potential (with P. Smyrnelis)
Electron. J. Differ. Equ. 2012 No. 15 (2012), pp. 1–15
The stress-energy tensor and Pohozaev's identity for systems (with A. C. Faliagas)
Acta Math. Scientia Ser. B, Engl. Ed. 32 No. 1 (2012), pp. 433–439
Entire solutions to equivariant elliptic systems with variational structure (with G. Fusco)
Arch. Ration. Mech. Anal. 202 No. 2 (2011), pp. 567597
On an elliptic system with symmetric potential possessing two global minima (with G. Fusco)
Bull. Greek Math. Soc. 58 (2011), pp. 1–21.
Some basic facts on the system Δu − Wu(u) = 0
Proc. Am. Math. Soc. 139 (2011), pp. 153–162
Heteroclinic travelling waves of gradient diffusion systems
(with N. I. Katzourakis)
Trans. Am. Math. Soc. 363 (2011), pp. 1362–1397
A replacement lemma for obtaining pointwise estimates in phase transition models (with G. Fusco)
Unpublished preprint
Entire solutions to nonconvex variational elliptic systems in the presence of a finite symmetry group (with G. Fusco)
In Singularities in nonlinear evolution phenomena and applications, M. Novaga and G. Orlandi eds. pp. 1–26, CRM Series 9, Edizioni della Normale, Pisa, 2009
On the connection problem for
potentials with several global minima (with G. Fusco)
Indiana Univ. Math. J. 57 No. 4 (2008), pp. 1871–1906
Singular perturbation problems arising from the anisotropy of crystalline grain boundaries (with P. C. Fife, G. Fusco, and Ch. Sourdis)
J. Dyn. Differ. Equations 19 No. 4 (2007), pp. 935–949
Analysis of the heteroclinic
connection in a singularly perturbed system arising from the study of crystalline grain boundaries (with P. C. Fife, G. Fusco, and Ch. Sourdis)
Interfaces Free Bound. 8 No. 2 (2006), pp. 159–183
Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities (with S. I. Betelú and X. Chen)
Eur. J. Appl. Math. 17 No. 5 (2006), pp. 525–556
Analysis of a corner layer problem in anisotropic interfaces (with P. W. Bates, J. W. Cahn, P. C. Fife, G. Fusco, and G. B. Tanoglu)
Discrete Contin. Dyn. Syst. Ser. B 6 No. 2 (2006), pp. 237–255
Ostwald ripening in two dimensions—the rigorous derivation of the equations from the Mullins–Sekerka dynamics (with G. Fusco and G. Karali)
J. Differ. Equations 205 No. 1 (2004), pp. 1–49
Continuum limits of particles interacting via diffusion (with G. Fusco and G. Karali)
Abstr. Appl. Anal. 3 (2004), pp. 215–237
Motion of bubbles towards the boundary for the Cahn–Hilliard equation (with G. Fusco and G. Karali)
Eur. J. Appl. Math. 15 No. 1 (2004), pp. 103–124
The effect of the geometry of the particle distribution in Ostwald ripening (with G. Fusco and G. Karali)
Commun. Math. Phys. 238 No. 3 (2003), pp. 481–488
Ostwald ripening for dilute systems under quasistationary dynamics (with G. Fusco)
Commun. Math. Phys. 238 No. 3 (2003), pp. 429–479
The normalized mean curvature flow for a small bubble in a Riemannian manifold (with A. Freire)
J. Differ. Geom. 64 No. 2 (2003), pp. 247–303
The effect of distribution in space in Ostwald ripening (with G. Fusco)
In Nonlinear dynamics and renormalization group, I. M. Sigal and C. Sulem eds. pp. 17–28, CRM Proc. Lect. Notes. 27, American Mathematical Society, Providence, RI, 2001
Motion of a droplet by surface tension along the boundary (with X. Chen and G. Fusco)
Calc. Var. Partial Differ. Equ. 11 No. 3 (2000), pp. 233–305
Mullins–Sekerka motion of small droplets on a fixed boundary (with P. W. Bates, X. Chen, and G. Fusco)
J. Geom. Anal. 10 No. 4 (2000), pp. 575–596
Last modified on September 13, 2021