Article ID Journal Published Year Pages File Type
1709722 Applied Mathematics Letters 2010 4 Pages PDF
Abstract

The existence of nontrivial solutions of Kirchhoff type equations is an important nonlocal quasilinear problem. In this paper, by using the local linking theory, we obtain nontrivial 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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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