Article ID Journal Published Year Pages File Type
4617245 Journal of Mathematical Analysis and Applications 2012 8 Pages PDF
Abstract

In the present paper, we study the existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems {−(a+b∫Ω∣∇u∣2dx)Δu=f(x,u),inΩ;u=0,on∂Ω, where a,b>0a,b>0 are real numbers. Some new existence and multiplicity results of nontrivial solutions are obtained by means of the mountain pass theorem and a cut-off technique. One known result is improved.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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