| Abstract: |
| Motivated by a model studied by V. Quitalo and describing population segregation, we consider a free boundary problem involving Pucci-type operators. We show the existence of a Lipschitz viscosity solution and prove that the set of regular points of the free boundary, i.e. the boundary of the positivity set of the solution, is relatively open and locally of class $C^{1,\alpha}$. |
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