Name
Title | ||
|---|---|---|
Three positive solutions for multipoint one-dimensional p-Laplacian boundary value problems with dependence on the first order derivative |
Abstract | ||
|---|---|---|
By applying a fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions for the one-dimensional p-Laplacian differential equation, (@f"p(u^'(t)))^'+q(t)f(t,u(t),u^'(t))=0,t@?(0,1), subject to the following multipoint boundary condition, u^'(0)=@?i=1n@a"iu^'(@x"i),u(1)=@?i=1n@b"iu(@x"i), where @f"p(s)=|s|^p^-^2s with p1. The interesting point is the nonlinear term f is involved with the first-order derivative explicitly. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.mcm.2006.10.002 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
interesting point,one-dimensional p-laplacian differential equation,order derivative,multipoint one-dimensional p-laplacian boundary,positive solution,value problem,following multipoint boundary condition,nonlinear term,fixed point theorem,boundary condition,first order,boundary value problem,differential equation | Differential equation,Boundary value problem,Combinatorics,First order,Mathematical analysis,Geometry,Partial differential equation,Mathematics,Fixed-point theorem,p-Laplacian | Journal |
Volume | Issue | ISSN |
45 | 9-10 | Mathematical and Computer Modelling |
Citations | PageRank | References |
3 | 0.75 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bo Sun | 1 | 70 | 20.66 |
| Weigao Ge | 2 | 158 | 46.20 |
| Dong-Xia Zhao | 3 | 14 | 3.22 |