Article ID Journal Published Year Pages File Type
843981 Nonlinear Analysis: Theory, Methods & Applications 2009 12 Pages PDF
Abstract

We establish the existence and multiplicity results for the one-dimensional prescribed mean curvature equation −(u′/1+(u′)2)′=λeu,u(0)=0,u(L)=0. In particular, we characterize the precise dependence of the multiplicity of solutions with respect to both the length LL of the interval and the value of the parameter λλ.

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Physical Sciences and Engineering Engineering Engineering (General)
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