Title | ||
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The iterative solutions for some fourth-order p-Laplace equation boundary value problems |
Abstract | ||
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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 |
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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 Bai | 1 | 78 | 12.56 |
Bingjia Huang | 2 | 9 | 1.13 |
Weigao Ge | 3 | 158 | 46.20 |