Differential and Integral Equations

A Lyapunov inequality for monotone quasilinear operators

Juan Pablo Pinasco and Pablo Luis de Nápoli

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Abstract

In this work we prove a Lyapunov-type inequality for monotone quasilinear operators generalizing the $p-$Laplacian. This inequality enable us to obtain lower bounds for the first eigenvalue obtained in the setting of Orlicz-Sobolev spaces.

Article information

Source
Differential Integral Equations, Volume 18, Number 10 (2005), 1193-1200.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060111

Mathematical Reviews number (MathSciNet)
MR2162629

Zentralblatt MATH identifier
1212.34276

Subjects
Primary: 34L30: Nonlinear ordinary differential operators
Secondary: 34L15: Eigenvalues, estimation of eigenvalues, upper and lower bounds

Citation

de Nápoli, Pablo Luis; Pinasco, Juan Pablo. A Lyapunov inequality for monotone quasilinear operators. Differential Integral Equations 18 (2005), no. 10, 1193--1200. https://projecteuclid.org/euclid.die/1356060111


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