## Differential and Integral Equations

### Uniqueness of positive solutions of quasilinear differential equations

Yūki Naito

#### Abstract

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

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

Dates
First available in Project Euclid: 12 May 2013

https://projecteuclid.org/euclid.die/1368397759

Mathematical Reviews number (MathSciNet)
MR1347982

Zentralblatt MATH identifier
0831.34028

Subjects
Primary: 34B15: Nonlinear boundary value problems

#### Citation

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