Title
The existence of symmetric positive solutions for Sturm–Liouville-like four-point boundary value problem with a p-Laplacian operator
Abstract
In this paper, the Sturm–Liouville-like four-point boundary value problem with a p-Laplacian operator(ϕp(u′))′(t)+λa(t)f(t,u(t))=0,t∈(0,1),u(0)-αu′(ξ)=0,u(1)+αu′(η)=0is studied, where ϕp(s)=|s|p-2s,p>1. By the use of fixed point index theory, Leray–Schauder degree and upper and lower solution method, some existence, nonexistence and multiplicity results of symmetric positive solutions are acquired.
Year
DOI
Venue
2007
10.1016/j.amc.2006.11.160
Applied Mathematics and Computation
Keywords
Field
DocType
Sturm–Liouville-like four-point boundary value problem,p-Laplacian operator,Symmetric positive solutions,Fixed point index theory
Boundary value problem,Mathematical optimization,Sturm–Liouville theory,Fixed-point index,Mathematical analysis,Multiplicity (mathematics),Operator (computer programming),Numerical analysis,Partial differential equation,Mathematics,p-Laplacian
Journal
Volume
Issue
ISSN
189
2
0096-3003
Citations 
PageRank 
References 
1
0.40
10
Authors
3
Name
Order
Citations
PageRank
Dehong Ji192.58
Weigao Ge215846.20
Yitao Yang3266.01