Department of Mathematics

University of Athens

15784 Athens

Greece

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 Δ*u* − *W*_{u}(*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 Δ*u* − *W*_{u}(*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 Δ*u* − *W*_{u}(*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*