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On some functionals for which the ball is a saddle shape

Masiello, Alba Lia et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdes
In the present paper, we study the maximization problem of the $k$-Torsional rigidity under quermassintegral constraint, with particular emphasis on the role of the ball. Our main result shows a phenomenon which, as far as we know, has not previously been observed: the ball, rather than being an ext
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