Nonexistence of positive solutions of quasilinear differential equations
type: Item
instance of: scholarly article
title: Nonexistence of positive solutions of quasilinear differential equations
zbMATH Open document ID: 0901.34025
DOI: 10.1016/S0895-7177(97)00154-4
author: Huei-Lin Hong
author: Fu-Hsiang Wong
author: Cheh-Chih Yeh
published in: Mathematical and Computer Modelling
publication date: 1998-12-02T00:00:00Z
review text: If \(\sup\left\{{u^{p-1}\over f_0(u)}: u\in[0, \infty)\right\}\) is sufficiently small, with \(f_0(u)= \min\{f(t, u): t\in[a, b]\}\) and \(f(t,a)> 0\), then the equation \((| u'(t)|^{p- 2}u'(t))'+ f(t, u(t))= 0\), with \(a< t< b\), \(p>1\), has no positive solution satisfying one of the boundary conditions \(u(a)= u(b)= 0\), \(u(a)= u'(b)= 0\), \(u'(a)= u(b)= 0\).
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 1135922
zbMATH Keywords: positive solution
zbMATH Keywords: nonexistence
zbMATH Keywords: \(p\)-Laplacian problem
MaRDI profile type: Publication
cites work: Some new existence results for differential and integral equations
cites work: Positive solutions to superlinear singular boundary value problems
cites work: Q3770926
cites work: Multiple solutions for quasilinear elliptic equations
cites work: Uniqueness of positive solutions of quasilinear differential equations
cites work: Q4306241
cites work: Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$
cites work: Nonexistence of solutions to a quasilinear elliptic problem
cites work: Q4040640
cites work: 3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems
cites work: Symmetry and related properties via the maximum principle
full work available at URL: s0895-7177(97)00154-4
OpenAlex ID: W1966753034
Wikidata QID: Q126548861
description: scientific article; zbMATH DE number 1135922