Title of article
Positive and negative solutions of a class of nonlocal problems Original Research Article
Author/Authors
Yang Yang، نويسنده , , Jihui Zhang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
6
From page
25
To page
30
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:
View the MathML source{−(a+b∫Ω|∇u|2)Δu=f(x,u),in Ω;u=0,on ∂Ω.
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Keywords
Nonlocal problems , The invariant sets of descent flow , Kirchhoff’s equation
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862487
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