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Singular perturbation method for inhomogeneous nonlinear free boundary problems. (English) Zbl 1290.35104

This paper discusses uniform local Lipschitz regularity for solutions of singularly perturbed problems of the type \(F(D^2 u,x) =\beta_\varepsilon (u) +f_\varepsilon(x)\).

MSC:

35J60 Nonlinear elliptic equations
35R35 Free boundary problems for PDEs
35B65 Smoothness and regularity of solutions to PDEs
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