Title
The iterative solutions for some fourth-order p-Laplace equation boundary value problems
Abstract
In this paper, the fourth-order four-point p-Laplace equation boundary value problem [φp(u″(x))]″=f(x,u(x),u″(x)),0≤x≤1,u(0)=0,u(1)=au(ξ),u″(0)=0,u″(1)=bu″(ζ), is studied, where φp(t)=|t|p−2⋅t,p>1;0<ξ,ζ<1; f∈C([0,1]×R2,R). The existence of iterative solutions is obtained via the lower and upper solution method.
Year
DOI
Venue
2006
10.1016/j.aml.2004.10.010
Applied Mathematics Letters
Keywords
Field
DocType
34B15
Boundary value problem,Mathematical optimization,Fourth order,Mathematical analysis,Iterative method,Laplace's equation,Mathematics,p-Laplacian
Journal
Volume
Issue
ISSN
19
1
0893-9659
Citations 
PageRank 
References 
3
0.59
0
Authors
3
Name
Order
Citations
PageRank
Zhanbing Bai17812.56
Bingjia Huang291.13
Weigao Ge315846.20