Abstract
Here the Rellich inequality is studied in the context of \(L_p(\Omega )\), where \(\Omega \) is an open subset \(\Omega \) of \(\mathbb {R}^n\). The classical situation is that in which \(p = 2\) and \(\Omega = \mathbb {R}^{n}\backslash \{0\} \); here analogous results in the general case are obtained by use of a mean distance function.
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Edmunds, D.E., Evans, W.D. (2018). The Rellich Inequality. In: Elliptic Differential Operators and Spectral Analysis. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-02125-2_10
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DOI: https://doi.org/10.1007/978-3-030-02125-2_10
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Print ISBN: 978-3-030-02124-5
Online ISBN: 978-3-030-02125-2
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