• Article  

      Regularity for fully nonlinear elliptic equations with neumann boundary data 

      Milakis, E.; Silvestre, L. E. (2006)
      We obtain local C , C 1, , and C 2, regularity results up to the boundary for viscosity solutions of fully nonlinear uniformly elliptic second order equations with Neumann boundary conditions.
    • Article  

      Regularity for the nonlinear Signorini problem 

      Milakis, E.; Silvestre, L. (2008)
      We study the regularity of the solution to a fully nonlinear version of the thin obstacle problem. In particular we prove that the solution is C1, α for some small α > 0. This extends a result of Luis Caffarelli of 1979. ...