INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN

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INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN

Journal Title: Проблемы анализа-Issues of Analysis - Year 2013, Vol 2, Issue 1

Abstract

Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions. Similar inequalities are given also for the p-analogues of the hyperbolic functions and their inverses.

Authors and Affiliations

B. A. Bhayo, M. Vuorinen

Keywords

eigenfunctions of p-Laplacian sinp generalized trigonometric function

INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN

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EP ID EP234546
DOI 10.15393/j3.art.2013.2322
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