Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024705 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 9 Pages |
Abstract
In this paper we prove the Liouville type theorems for stable solution of the p-Laplace equations (0.1)âÎpu=f(x)eu,inRNand (0.2)Îpu=f(x)uâq,inRN,where 2â¤p0 and the nonnegative function f(x)âLloc1(RN) such that f(x)â¥c0|x|a as |x|â¥R0 with a>âp and some constants R0,c0>0. The results hold true for 2â¤N<μ0(p,a) in (0.1) and for q>qc(p,N,a) in (0.2). Here μ0 and qc are new exponents, which are always large than the classical critical ones and depend on the parameters p,a and N.
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Authors
Caisheng Chen, Hongxue Song, Hongwei Yang,