On some variational problems involving capacity, torsional rigidity, perimeter and measure
نویسندگان
چکیده
Abstract We investigate the existence of a maximiser among open, bounded, convex sets in R d \mathbb{R}^{d} , ≥ 3 d\geq 3 for product torsional rigidity and Newtonian capacity (or logarithmic if = 2 d=2 ), with constraints involving Lebesgue measure or combination perimeter.
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ژورنال
عنوان ژورنال: Advances in Calculus of Variations
سال: 2022
ISSN: ['1864-8258', '1864-8266']
DOI: https://doi.org/10.1515/acv-2021-0076