Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations

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Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator (2010, background): “Further analogues of the work in [3] were obtained for a class of non-isotropic operators in [8] and in [9] fully nonlinear equations, without assumptions concerning concavity or convexity, of the form F(∇2u,∇u) = 0 were considered assuming that F is homogeneous in both arguments.”
Two-phase problems with distributed sources: regularity of the free boundary (2012, background): “operators; [Argiolas and Ferrari 2009; Feldman 2001; 1997; Ferrari 2006; Wang 2000; 2002] for fully nonlinear operators; and [Lewis and Nyström 2010] for the p-Laplacian.”