Liouville type theorems for elliptic systems involving gradient terms

详细信息    查看全文

• 作者：M.Á ; . Burgos-Pé ; rez ^{miguelburgosperez@gmail.com}
• 关键词：Nonlinear elliptic systems ; Liouville type theorems ; Gradient terms
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：660-669
• 全文大小：298 K
• 卷排序：449

文摘

The objective of this work is to obtain Liouville type theorems for positive supersolutions of the elliptic system{−Δu+|∇u|=λvp,−Δv+|∇v|=μus, in exterior domains of RNRN, where p,s>0p,s>0 and λ,μ>0λ,μ>0 are parameters. We prove that positive supersolutions do not exist in some ranges of the parameters which turn out to be optimal.