On capacity and torsional rigidity

DOI10.1112/blms.12422zbMath1467.49036arXiv2001.04421OpenAlexW3092594769MaRDI QIDQ4996917

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Publication date: 2 July 2021

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04421

Mathematics Subject Classification ID

Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Elliptic equations and elliptic systems (35J99)

Related Items (6)

Complete systems of inequalities relating the perimeter, the area and the Cheeger constant of planar domains ⋮ On some variational problems involving capacity, torsional rigidity, perimeter and measure ⋮ Some inequalities involving perimeter and torsional rigidity ⋮ On the Cheeger inequality for convex sets ⋮ An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams ⋮ Spectral upper bound for the torsion function of symmetric stable processes

Cites Work

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• Estimates for the torsion function and Sobolev constants
• Isoperimetric inequalities for capacities in the plane
• \(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds
• Principal eigenvalue estimates via the supremum of torsion
• On relations between principal eigenvalue and torsional rigidity
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Hardy inequality and L ^p estimates for the torsion function

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