On functionals involving the torsional rigidity related to some classes of nonlinear operators

DOI10.1016/j.jde.2018.07.030zbMath1405.49032arXiv1705.03330OpenAlexW2963730973MaRDI QIDQ1797852

Nunzia Gavitone, Francesco Della Pietra, Serena Guarino Lo Bianco

Publication date: 22 October 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03330

zbMATH Keywords

torsional rigidityoptimal estimatesanisotropic operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (16)

A comparison principle for the Lane-Emden equation and applications to geometric estimates ⋮ The monotonicity of the \(p\)-torsional rigidity in convex domains ⋮ LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY ⋮ Mean-to-max ratio of the torsion function and honeycomb structures ⋮ Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian ⋮ Estimates for Robin \(p\)-Laplacian eigenvalues of convex sets with prescribed perimeter ⋮ Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators ⋮ On two functionals involving the maximum of the torsion function ⋮ On principal frequencies, volume and inradius in convex sets ⋮ The Pohozaev identity for the anisotropic \(p\)-Laplacian and estimates of the torsion function ⋮ On the first Robin eigenvalue of a class of anisotropic operators ⋮ A monotonicity property of the \(p\)-torsional rigidity ⋮ Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle ⋮ On efficiency and localisation for the torsion function ⋮ On relations between principal eigenvalue and torsional rigidity ⋮ Inequalities between torsional rigidity and principal eigenvalue of the \(p\)-Laplacian

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