Article ID Journal Published Year Pages File Type
4618871 Journal of Mathematical Analysis and Applications 2011 4 Pages PDF
Abstract

We study the uniqueness of solution for the following boundary value problem involving a nonlocal equation of Kirchhoff type{−(a+b∫Ω|∇u|2dx)Δu=λf(u)in Ω,u|∂Ω=0. Here, Ω   is a bounded open set in RnRn with smooth boundary, a, b, λ   are positive real numbers and f:R→Rf:R→R is a continuous function. In particular, we give an answer to an open problem recently proposed by B. Ricceri.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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