Georgios Sakellaris



Research interests

Partial Differential Equations.


Publications / Preprints

  1. Scale invariant regularity estimates for second order elliptic equations with lower order coefficients
    in optimal spaces.

    To appear in Journal de Mathématiques Pures et Appliquées.
  2. Minimizers for the thin one-phase free boundary problem.
    Joint with Max Engelstein, Aapo Kauranen, Martí Prats and Yannick Sire.
    Communications on Pure and Applied Mathematics 74 (2021), no. 9, 1971-2022. (doi link)
  3. On scale invariant bounds for Green's function for second order elliptic equations with lower order coefficients and applications.
    Analysis and PDE 14 (2021), no. 1, 251-299. (doi link)
  4. Boundary value problems in Lipschitz domains for equations with lower order coefficients.
    Transactions of the AMS 372 (2019), no. 8, 5947-5989. (doi link)
  5. Green's function for second order elliptic equations with singular lower order coefficients.
    Joint with Seick Kim.
    Communications in Partial Differential Equations 44 (2019), no. 3, 228-270. (doi link)

A copy of my PhD thesis is available here, and also on the arXiv.