【摘 要】
：
In this paper,we consider the Liouville-type theorem for stable solutions of the following Kirchhoff equation M(∫RN|▽u|2dx)△u=g(x)u-q,x∈RN,where M(t) =a+bt
【机 构】
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School of Statistics and Mathematics, Nanjing Audit University, Jiangsu 211815, P.R.China“,”College
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In this paper,we consider the Liouville-type theorem for stable solutions of the following Kirchhoff equation M(∫RN|▽u|2dx)△u=g(x)u-q,x∈RN,where M(t) =a+btθ,a ＞ 0,b,θ ≥ 0,θ =0 if and only if b =0.N ≥ 2,q ＞ 0 and the nonnegative function g(x) ∈ L1loc(RN).Under suitable conditions on g(x),θ and q,we investigate the nonexistence of positive stable solution for this problem.
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