Title | ||
---|---|---|
The existence of symmetric positive solutions for Sturm–Liouville-like four-point boundary value problem with a p-Laplacian operator |
Abstract | ||
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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 Ji | 1 | 9 | 2.58 |
Weigao Ge | 2 | 158 | 46.20 |
Yitao Yang | 3 | 26 | 6.01 |