Abstract
The generalized Favard problem deals with the question about area-minimal indomains of a circular sector where the perimeter length is fixed. Favard's ‘fonction penetrante’ denotes the optimal value function of the geometrical parametric optimization problem. This continuous and piece-wise continuously differentiable function is implicitely given, only. Its analytical and convexity properties are investigated in this paper. Especially. the ‘fonction penetrante’ gives an example for a roughly convex function
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