Free boundary regularity for fully nonlinear non-homogeneous two-phase problems

By Daniela De Silva, Fausto Ferrari, Sandro Salsa. 2013

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We prove that flat or Lipschitz free boundaries of two-phase free boundary problems governed by fully nonlinear uniformly elliptic operators and with non-zero right hand side are $C^{1,\gamma}$.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/b04736a287188be933a31a64b85ea7a673fab0f5