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Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains
Dai, Wei1,2; Qin, Guolin3,4
2020-10-15
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume269Issue:9Pages:7231-7252
AbstractIn this paper, we are mainly concerned with the Dirichlet problems in exterior domains for the following elliptic equations: with arbitrary r > 0, where 11 > 2, 0 < a < 2 and f (x, u) satisfies some assumptions. A typical case is the Hardy-Henon type equations in exterior domains. We first derive the equivalence between O.1) and the corresponding integral equations
KeywordThe method of scaling spheres Hardy-H?non type equations Liouville theorems Nonnegative solutions Exterior domains
DOI10.1016/j.jde.2020.05.026
Indexed BySCI
Language英语
Funding ProjectNNSF of China[11971049] ; NNSF of China[11501021] ; Fundamental Research Funds for the Central Universities[YWF-19-BJ-J-317] ; State Scholarship Fund of China[201806025011]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000544102900029
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51718
Collection中国科学院数学与系统科学研究院
Corresponding AuthorQin, Guolin
Affiliation1.Beihang Univ BUAA, Sch Math Sci, Beijing 100083, Peoples R China
2.Univ Paris 13, UMR 7539, LAGA, Paris, France
3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Dai, Wei,Qin, Guolin. Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269(9):7231-7252.
APA Dai, Wei,&Qin, Guolin.(2020).Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains.JOURNAL OF DIFFERENTIAL EQUATIONS,269(9),7231-7252.
MLA Dai, Wei,et al."Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains".JOURNAL OF DIFFERENTIAL EQUATIONS 269.9(2020):7231-7252.
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