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MR1897393 (2003f:35092) 35J60 (35B65 35R35 49L25)
Caffarelli, L.; Salazar, J. Solutions of fully nonlinear elliptic equations with patches of zero gradient: existence, regularity and convexity of level curves. Trans. Amer. Math. Soc. 354 (2002), no. 8, 3095–3115.
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