Expansions for distributional solutions of the elliptic equation in two dimensions

doi:10.1142/S0219199721500188

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	Expansions for distributional solutions of the elliptic equation in two dimensions
	Li, Jiayu 1,2; Wan, Fangshu 1; Yang, Yunyan 3
	2022-09-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	24 期号:07 页码:27
摘要	Assume Omega subset of R-2 is a planar domain, and u is a locally bounded distributional solution to the elliptic equation -triangle u - vertical bar x vertical bar(2 beta)h(x)f(u) in Omega, where beta > -1 is a constant, h and f are real analytic functions defined on Omega and the real line R, respectively. We establish asymptotic expansions of u(x) to arbitrary orders near 0, which complements the recent results of Han-Li-Li on the Yamabe equation, Guo-Li-Wanon the weighted Yamabe equation, and partly extends that of Guo-Wan-Yang on the Liouville equation in a punctured disc. Our method is a combination of a priori estimate and mathematical induction.
关键词	Asymptotic expansion Liouville equation singular solution
DOI	10.1142/S0219199721500188
收录类别	SCI
语种	英语
资助项目	National Key Research and Development Project[SQ2020YFA070080] ; National Science Foundation of China[11721101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000849678800004
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61038
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jiayu
作者单位	1.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China 2.Chinese Acad Sci, AMSS, Beijing 100190, Peoples R China 3.Renmin Univ China, Dept Math, Beijing 100872, Peoples R China
推荐引用方式 GB/T 7714	Li, Jiayu,Wan, Fangshu,Yang, Yunyan. Expansions for distributional solutions of the elliptic equation in two dimensions[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2022,24(07):27.
APA	Li, Jiayu,Wan, Fangshu,&Yang, Yunyan.(2022).Expansions for distributional solutions of the elliptic equation in two dimensions.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,24(07),27.
MLA	Li, Jiayu,et al."Expansions for distributional solutions of the elliptic equation in two dimensions".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 24.07(2022):27.