Differential and Integral Equations

Uniqueness of positive solutions of quasilinear differential equations

Yūki Naito

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In this paper we are concerned with the uniqueness of positive solutions of boundary value problems for quasilinear differential equations of the type $(|u'|^{m-2}u')' + p(t)f(u) = 0, $ $ m>1$. The key ingredient of the method is the generalized Prüfer transformation. These problems arise, for example, in the study of the $m$-Laplace equation in annular regions.

Article information

Differential Integral Equations, Volume 8, Number 7 (1995), 1813-1822.

First available in Project Euclid: 12 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34B15: Nonlinear boundary value problems


Naito, Yūki. Uniqueness of positive solutions of quasilinear differential equations. Differential Integral Equations 8 (1995), no. 7, 1813--1822. https://projecteuclid.org/euclid.die/1368397759

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