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On capacity and torsional rigidity

On capacity and torsional rigidity

We investigate extremal properties of shape functionals which are products of Newtonian capacity cap ( Ω ¯ ) , and powers of the torsional rigidity T ( Ω ) , for an open set Ω ⊂ R d with compact closure Ω ¯ , and prescribed Lebesgue measure. It is …