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LOCALIZATION FOR THE TORSION FUNCTION AND THE STRONG HARDY INEQUALITY
Author(s) -
van den Berg M.,
Kappeler T.
Publication year - 2021
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12086
Subject(s) - mathematics , torsion (gastropod) , inequality , laplace operator , mathematical analysis , pure mathematics , function (biology) , medicine , surgery , evolutionary biology , biology
Two‐sided bounds for the efficiency of the torsion function are obtained in terms of the square of the distance to the boundary function under the hypothesis that the Dirichlet Laplacian satisfies a strong Hardy inequality. Localization properties of the torsion function are obtained under that hypothesis. An example is analyzed in detail.