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math.OC2011
Sharp bounds for the p-torsion of convex planar domains
Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley
We obtain some sharp estimates for the -torsion of convex planar domains in terms of their area, perimeter, and inradius. The approach we adopt relies on the use of web function…
math.OC2011
Optimal convex shapes for concave functionals
Dorin Bucur, Ilaria Fragalà, Jimmy Lamboley
Motivated by a long-standing conjecture of Polya and Szegö about the Newtonian capacity of convex bodies, we discuss the role of concavity inequalities in shape optimization, and w…