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We are looking for the domains Ω ⊂ R 2 tiling the plane and functions u : Ω → R satisfying the simple impact assumption introduced by G. Buttazzo, V. Ferone and B. Kawohl [1] about the Newton's problem of the body of minimal resistance, which minimize function-als F (u; Ω) = 1 |Ω| Ω f (|∇u|), with f decreasing. We prove that only some convex polygons are… (More)

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