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

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  • EP ID EP234546
  • DOI 10.15393/j3.art.2013.2322
  • Views 116
  • Downloads 0

How To Cite

B. A. Bhayo, M. Vuorinen (2013). INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN. Проблемы анализа-Issues of Analysis, 2(1), 14-37. https://europub.co.uk/articles/-A-234546