Abstract
This paper is devoted to the study of a quantitative Weinstock inequality in higher dimension for the first non trivial Steklov eigenvalue of the Laplace operator for convex sets. The key role is played by a quantitative isoperimetric inequality which involves the boundary momentum, the volume and the perimeter of a convex open set of \({\mathbb {R}}^n\), \(n \ge 2\).
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Communicated by A. Malchiodi.
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Gavitone, N., La Manna, D.A., Paoli, G. et al. A quantitative Weinstock inequality for convex sets. Calc. Var. 59, 2 (2020). https://doi.org/10.1007/s00526-019-1642-9
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DOI: https://doi.org/10.1007/s00526-019-1642-9