amonotonicitytheoremanditsapplicationstoweightedellipticequations

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	amonotonicitytheoremanditsapplicationstoweightedellipticequations
	Li Kui 1; Zhang Zhitao2
	2019
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	62 期号:10 页码:1925
摘要	We study the equation wtt + ?_SN_(– 1) w – μw_t – δw + h(t, ω)w~p = 0,(t, ω) ∈ R × S~(N–1), and under some conditions we prove a monotonicity theorem for its positive solutions. Applying this monotonicity theorem, we obtain a Liouville-type theorem for some nonlinear elliptic weighted singular equations. Moreover, we obtain the necessary and sufficient condition for – div( \| x \|~θ ? u) = \| x \|~l u p, x ∈ R~N \{ 0 } having positive solutions which are bounded near 0, which is also a positive answer to Souplet's conjecture(see Phan and Souplet(2012)) on the weighted Lane-Emden equation – ?u = \| x \|~a u~p, x ∈ R~N.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/33402
专题	数学所
作者单位	1.School of Mathematics and Statistics,Zhengzhou University 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Li Kui,Zhang Zhitao. amonotonicitytheoremanditsapplicationstoweightedellipticequations[J]. sciencechinamathematics,2019,62(10):1925.
APA	Li Kui,&Zhang Zhitao.(2019).amonotonicitytheoremanditsapplicationstoweightedellipticequations.sciencechinamathematics,62(10),1925.
MLA	Li Kui,et al."amonotonicitytheoremanditsapplicationstoweightedellipticequations".sciencechinamathematics 62.10(2019):1925.