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arXiv · 1705.09147

Inequalities for the fundamental Robin eigenvalue of the Laplacian for box-shaped domains

Grant Keady·Benchawan Wiwatanapataphee
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Abstract

This document consists of two papers, both submitted, and supplementary material. The submitted papers are here given as Parts I and II. Part I establishes results, used in Part II, 'on functions and inverses, both positive, decreasing and convex'. Part II uses results from Part I to extablish 'inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional boxes'

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Grant Keady, Benchawan Wiwatanapataphee. 2017-05-25. Inequalities for the fundamental Robin eigenvalue of the Laplacian for box-shaped domains. https://doi.org/10.7153/mia-2018-21-62

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