Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients

  • Roberto Argiolas

    Univ. Studi Cagliari, Italy
  • Fausto Ferrari

    Università di Bologna, Italy

Abstract

We study the regularity of the free boundary in two-phase problems for fully nonlinear elliptic operators. In particular, we prove that flat free boundaries are _C_1,γ.

Cite this article

Roberto Argiolas, Fausto Ferrari, Flat free boundaries regularity in two-phase problems for a class of fully nonlinear elliptic operators with variable coefficients. Interfaces Free Bound. 11 (2009), no. 2, pp. 177–199

DOI 10.4171/IFB/208