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Chen, Caisheng
Applied mathematics letters, June 2017, Volume: 68Journal Article
In this paper we prove the Liouville type theorem for stable solution of the p-Laplace equation (0.1)−Δpu=f(x)|u|q−1u,x∈RN,where f(x) is a continuous and nonnegative function in RN∖{0} such that f(x)≥a0|x|a as |x|≥R0>0, where a>−p and a0>0. The results hold true for 1≤p−1<q=qc(p,N,a). Here qc is a new exponent, which is infinity in low dimension and is always larger than the classical critical one.
