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Existence and convexity of local solutions to degenerate Hessian equations

文献类型：期刊论文

作者Tian, Guji2; Xu, Chao-Jiang1,3
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2018-05-15
卷号264期号:10页码:6025-6060
关键词Degenerate Hessian Equations Local Solution Convex Solution Nash-moser-hormander Iteration
ISSN号0022-0396
DOI10.1016/j.jde.2018.01.0300022
文献子类Article
英文摘要In this work, we prove the existence of convex solutions to the following k-Hessian equation
WOS关键词DIRICHLET PROBLEM ; EUCLIDEAN-SPACE ; CURVATURES ; MANIFOLDS
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000428012100001
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
资助机构National Science Foundation of China(11171339) ; National Science Foundation of China(11171339) ; National Center for Mathematics and Interdisciplinary Sciences ; National Center for Mathematics and Interdisciplinary Sciences ; Fundamental Research Funds for Central Universities of China ; Fundamental Research Funds for Central Universities of China ; National Science Foundation of China(11171339) ; National Science Foundation of China(11171339) ; National Center for Mathematics and Interdisciplinary Sciences ; National Center for Mathematics and Interdisciplinary Sciences ; Fundamental Research Funds for Central Universities of China ; Fundamental Research Funds for Central Universities of China ; National Science Foundation of China(11171339) ; National Science Foundation of China(11171339) ; National Center for Mathematics and Interdisciplinary Sciences ; National Center for Mathematics and Interdisciplinary Sciences ; Fundamental Research Funds for Central Universities of China ; Fundamental Research Funds for Central Universities of China ; National Science Foundation of China(11171339) ; National Science Foundation of China(11171339) ; National Center for Mathematics and Interdisciplinary Sciences ; National Center for Mathematics and Interdisciplinary Sciences ; Fundamental Research Funds for Central Universities of China ; Fundamental Research Funds for Central Universities of China
源URL[http://ir.wipm.ac.cn/handle/112942/12888]  
专题中国科学院武汉物理与数学研究所
通讯作者Tian, Guji
作者单位1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China
3.Univ Rouen, CNRS, UMR 6085, Lab Math, F-76801 St Etienne Du Rouvray, France
推荐引用方式
GB/T 7714		 Tian, Guji,Xu, Chao-Jiang. Existence and convexity of local solutions to degenerate Hessian equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,264(10):6025-6060.
APA Tian, Guji,&Xu, Chao-Jiang.(2018).Existence and convexity of local solutions to degenerate Hessian equations.JOURNAL OF DIFFERENTIAL EQUATIONS,264(10),6025-6060.
MLA Tian, Guji,et al."Existence and convexity of local solutions to degenerate Hessian equations".JOURNAL OF DIFFERENTIAL EQUATIONS 264.10(2018):6025-6060.

入库方式： OAI收割

来源：武汉物理与数学研究所

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