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Nonlinear Analysis
Article . 2011 . Peer-reviewed
License: Elsevier TDM
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zbMATH Open
Article . 2011
Data sources: zbMATH Open
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A Lyapunov-type inequality for a -Laplacian operator

A Lyapunov-type inequality for a \(\psi\)-Laplacian operator
Authors: Sanchez, Justino; Vergara, Vicente;

A Lyapunov-type inequality for a -Laplacian operator

Abstract

For an odd increasing function \(\psi\), a Lyapunov-type inequality for the \(\psi\)-Laplacian operator is proven. The proof is non-classical, since the Jensen, Cauchy-Schwarz or either Hölder inequalities are not used.

Keywords

convex function, bounds on the eigenvalues, Lyapunov-type inequality, sub-multiplicative function, Nonlinear boundary value problems for ordinary differential equations, Linear boundary value problems for ordinary differential equations, \(\psi\)-Laplacian, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Average
Green