Embedded Files
[26] Optimality in nonlocal time-dependent obstacle problems,
(with I. Athanasopoulos and L. Caffarelli) (2026).
Journal
[25] Sufficient Conditions for the preservation of Polygonal-Connectedness in an arbitrary normed space,
(with S. Andronicou). Ricerche di Matematica (2025), 1945-1972.
[24] Sufficient Conditions for the preservation of Path-Connectedness in an arbitrary metric space,
(with S. Andronicou). Applied General Topology 26 (2025), 2, 703-724.
[23] Systems of Fully Nonlinear Degenerate Elliptic Obstacle problems with Dirichlet boundary conditions,
(with S. Andronicou). Annali di Matematica Pura ed Applicata. 202 (2023), 2861-2901.
[22] Higher Integrability of the gradient for the Thermal Insulation Problem,
(with C. Labourie). Interfaces & Free Boundaries 25 (2023) no 2, 193-216.
[21] The Two-Phase Stefan problem with Anomalous Diffusion,
(with I. Athanasopoulos and L. Caffarelli) Advances in Math. 406 (2022) 108527.
[20] The calibration method for the Thermal Insulation Functional,
(with C. Labourie). ESAIM: Control, Optimisation and Calculus of Variations 28 (2022) 50.
[19] Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data,
(with G. Chatzigeorgiou). Rev. Mat. Iberoam. 37 (2021), 2, 775-820.
[18] Parabolic Obstacle Problems. Quasi-convexity Regularity,
(with I. Athanasopoulos and L. Caffarelli). Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (2019) Vol XIX 1-45.
[17] On the regularity of the Non-dynamic Fractional Obstacle Problem,
(with I. Athanasopoulos and L. Caffarelli). J. Differential Equations (2018), 265, no 6, 2614-2647.
[16] A Parabolic Almgren’s Monotonicity Formula for degenerate operators and applications,
(with I. Athanasopoulos and L. Caffarelli). Preprint, 26 pages.
[15] Perturbations of elliptic operators in chord arc domains,
(with J. Pipher and T. Toro). Contemp Math. 612 (2014), pp. 143–161.
[14] On the extension property of Reifenberg-flat domains,
(with A. Lemenant and L. Spinolo). Ann. Acad. Sci. Fenn. Math., 39 (2014), no 1, 51–71.
[13] Spectral Stability Estimates for the Dirichlet and Neumann Laplacian in rough domains,
(with A. Lemenant and L. Spinolo). Journal of Functional Analysis, 264 (2013), pp. 2097-2135.
[12] Harmonic Analysis on Chord Arc Domains,
(with J. Pipher and T. Toro). J. Geom. Anal. 23 (2013), no. 4, 2091–2157..
[11] A stability result for nonlinear Neumann problems in Reifenberg flat domains in R^N,
(with A. Lemenant). Publ. Mat. 55 (2011), no. 2, 413–432.
[10] Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in R^N,
(with A. Lemenant). J. Math. Anal. Appl. 364 (2010), no. 2, 522–533.
[9] Divergence form operators in Reifenberg flat domains,
(with T. Toro). Mathematische Zeitschrift 264 (2010), no. 1, 15–41.
[8] Fully nonlinear phase transition problems with flat free boundaries.
Differential Integral Equations 23 (2010), no. 1-2, 93–112.
[7] Optimal regularity in lower dimensional obstacle problems with variable coefficients.
Unpublished manuscript (2009), 22 pages.
[6] Regularity for the nonlinear Signorini problem,
(with L. Silvestre). Advances in Math. 217 (2008), 1301–1312.
[5] Regularity for fully nonlinear elliptic equations with Neumann boundary data,
(with L. Silvestre). Comm. Partial Differential Equations 31 (2006), no. 4-6, 1227–1252.
[4] On the regularity of optimal sets in mass transfer problems,
Comm. Partial Differential Equations 31 (2006), no. 4-6, 817–826.
[3] Lipschitz regularity of viscosity solutions in some nonlinear parabolic free boundary problems. (2006) Differential & difference equations & appl. 787–793, New York, 2006.
Journal
[2] Boundary Value Problems for Quasilinear Second Order Ordinary Differential equations,
Nonlinear Analysis TMA 60 (2005) 149-162.
[1] Two-phase transition problems for fully nonlinear parabolic equations of second order,
Indiana Univ. Math. J. 54 (2005), no. 6, 1751–1768.
Part of this research was sponsored, by the Marie Curie International Reintegration Grant “FBPsinSC” no. PIRG06-GA-2009-256481, NSF DMS grant 0856687, European Regional Development Fund and the Republic of Cyprus through the Research and Innovation Foundation grand EXCELLENCE/1216/0025 and the University of Cyprus research grants.
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