On efficiency and localisation for the torsion function

DOI10.1007/s11118-021-09928-xzbMath1505.35110arXiv2005.06366OpenAlexW3161204406MaRDI QIDQ2099175

Yanyan Li

Publication date: 23 November 2022

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06366

zbMATH Keywords

Schrödinger operatorDirichlet boundary conditiontorsion functionfirst Dirichlet eigenfunction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spectral theory and eigenvalue problems for partial differential equations (35P99) Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Mean-to-max ratio of the torsion function and honeycomb structures

Cites Work

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• \(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds
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• Geometrical Structure of Laplacian Eigenfunctions
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• On the mean value of the fundamental mode in the fixed membrane problem
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• Localization of eigenfunctions via an effective potential
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• On two functionals involving the maximum of the torsion function
• Hardy inequality and L ^p estimates for the torsion function
• LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY

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