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Savin, Ovidiu

  1. Some remarks on stability of cones for the one-phase free boundary\n problem
    2014/10/27 by David Jerison, Jerison, David, Ovidiu Savin +1 · 6 citations
    Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows
  2. Boundary Regularity for the Free Boundary in the One-phase Problem
    2017/09/11 by Chang-Lara, Hector, Savin, Ovidiu · 5 citations
    #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. Non C1 solutions to the special Lagrangian equation
    2023/03/24 by Connor Mooney, Ovidiu Savin, Mooney, Connor +1 · 6 citations
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
  4. C2,α regularity of flat free boundaries for the thin one-phase problem
    2011/11/10 by De Silva, Daniela, Savin, Ovidiu · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Regularity of nonlocal minimal cones in dimension 2
    2012/02/05 by Savin, Ovidiu, Valdinoci, Enrico · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Regularity of Lipschitz free boundaries for the thin one-phase problem
    2012/05/08 by De Silva, Daniela, Savin, Ovidiu · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. A one-phase problem for the fractional Laplacian: regularity of flat free boundaries
    2014/01/24 by De Silva, Daniela, Savin, Ovidiu, Sire, Yannick · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. A note on higher regularity boundary Harnack inequality
    2014/03/11 by De Silva, Daniela, Savin, Ovidiu · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
    2015/04/03 by Le, Nam Q., Savin, Ovidiu · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. Local and global minimizers for a variational energy involving a\n fractional norm
    2011/04/09 by Giampiero Palatucci, Enrico Valdinoci, Palatucci, Giampiero +3 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Nonlinear Partial Differential Equations
  11. Viscosity solutions and the minimal surface system
    2017/05/22 by Ovidiu Savin, Savin, Ovidiu · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
  12. Rigidity of minimizers in nonlocal phase transitions II
    2018/02/05 by Savin, Ovidiu · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  13. Almost minimizers of the one-phase free boundary problem
    2019/01/07 by De Silva, Daniela, Savin, Ovidiu · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  14. On certain degenerate one-phase free boundary problems
    2019/12/13 by De Silva, Daniela, Savin, Ovidiu · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  15. Density estimates for a variational model driven by the Gagliardo norm
    2010/07/13 by Savin, Ovidiu, Valdinoci, Enrico · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  16. C∞ regularity of certain thin free boundaries
    2014/02/05 by De Silva, Daniela, Savin, Ovidiu · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  17. All functions are locally s-harmonic up to a small error
    2014/04/14 by Dipierro, Serena, Savin, Ovidiu, Valdinoci, Enrico · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  18. Boundary Harnack estimates in slit domains and applications to thin free boundary problems
    2014/06/23 by De Silva, Daniela, Savin, Ovidiu · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  19. Local approximation of arbitrary functions by solutions of nonlocal equations
    2016/09/14 by Dipierro, Serena, Savin, Ovidiu, Valdinoci, Enrico · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  20. Lipschitz regularity of solutions to two-phase free boundary problems
    2017/02/09 by De Silva, Daniela, Savin, Ovidiu · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  21. Perturbative estimates for the one-phase Stefan Problem
    2020/07/16 by De Silva, Daniela, Forcillo, Nicolo, Savin, Ovidiu · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  22. Uniform density estimates and Γ-convergence for the Alt-Phillips functional of negative powers
    2022/05/17 by Daniela De Silva, Ovidiu Savin, De Silva, Daniela +1 · 1 citation
    Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics
  23. Compactness estimates for minimizers of the Alt-Phillips functional of negative exponents
    2022/11/01 by De Silva, Daniela, Savin, Ovidiu · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  24. Solutions to the minimal surface system with large singular sets
    2024/11/21 by Connor Mooney, Ovidiu Savin, Mooney, Connor +1 · 2 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals
  25. An energy model for harmonic functions with junctions
    2023/04/27 by Daniela De Silva, De Silva, Daniela, Ovidiu Savin +1 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fiber-reinforced polymer composites #Spectral Theory in Mathematical Physics
  26. Regularity of the singular set in the fully nonlinear obstacle problem
    2019/05/07 by Ovidiu Savin, Savin, Ovidiu, Hui Yu +1 · 1 citation
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
  27. Graph properties for nonlocal minimal surfaces
    2015/06/13 by Dipierro, Serena, Savin, Ovidiu, Valdinoci, Enrico · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  28. Boundary behavior of nonlocal minimal surfaces
    2015/06/13 by Dipierro, Serena, Savin, Ovidiu, Valdinoci, Enrico · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  29. Stable and Minimizing Cones in the Alt-Phillips Problem
    2025/02/25 by Savin, Ovidiu, Yu, Hui · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics