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Mar 2, 2014 at 2:55 comment added Daniele Zuddas Is $\Omega$ open? You should assume at least that $f(\Omega)$ is connected and star-shaped with respect to 0. Do you want $\gamma$ to be continuous? Also, you probably need to assume the Lipschitz constant to be $\leq 1$.
Mar 1, 2014 at 19:57 comment added Alex Degtyarev I think your question needs a lot more details. What about $f=\mathrm{identity}$ and $\Omega$ nonconvex?
Mar 1, 2014 at 19:30 history asked Axiom CC BY-SA 3.0