Article ID Journal Published Year Pages File Type
842800 Nonlinear Analysis: Theory, Methods & Applications 2010 6 Pages PDF
Abstract

The existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal quasilinear problem. In this paper, still by using the invariant sets of descent flow, we obtain positive and negative solutions of a class of nonlocal quasilinear elliptic boundary value problems as follows: {−(a+b∫Ω|∇u|2)Δu=f(x,u),in Ω;u=0,on ∂Ω.

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Physical Sciences and Engineering Engineering Engineering (General)
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