Uniform Lipschitz regularity for two-phase singularly perturbed fully nonlinear elliptic equations

Thialita M. Nascimento, Aelson Sobral, Eduardo V. Teixeira

We study sign-changing viscosity solutions of the singularly perturbed fully nonlinear equation $$ F(D^2u_\varepsilon) = \fracα{\varepsilon} β\left(\frac{u_\varepsilon}{\varepsilon…