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On De La Vallée Poussin-type inequalities in higher dimension and applications
Journal article   Peer reviewed

On De La Vallée Poussin-type inequalities in higher dimension and applications

Ravi P. Agarwal, Mohamed Jleli and Bessem Samet
Applied mathematics letters, Vol.86, pp.264-269
12/2018
DOI: https://doi.org/10.1016/j.aml.2018.07.015

Abstract

De La Vallée Poussin-type inequalities Higher dimension Sign-changing criteria
A De La Vallée Poussin-type inequality is established for a certain class of partial differential equations posed in a bounded domain Ω in RN+1, N≥1, under Dirichlet boundary condition. Next, as applications of the obtained inequality, some sign-changing criteria are derived for the nontrivial solutions.

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