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Constant Sign and Sign Changing Solutions for Systems of Quasilinear Elliptic Equations

文献类型：期刊论文

作者Motreanu, Dumitru1; Zhang, Zhitao2
刊名SET-VALUED AND VARIATIONAL ANALYSIS
出版日期2011-06-01
卷号19期号:2页码:255-269
关键词Quasilinear elliptic system Sub-supersolution Comparison Truncation Critical point Constant sign solutions Sign changing solutions
ISSN号1877-0533
DOI10.1007/s11228-010-0142-z
英文摘要We establish the existence of two opposite constant sign solutions for a general noncoercive quasilinear elliptic system with homogeneous Dirichlet boundary conditions. In the case where the system has a variational structure, by strengthening the hypotheses, we obtain a third nontrivial solution which is sign changing in the sense that one cannot have both components of the new solution of the same constant sign. Our approach relies on a suitable method of sub-supersolutions combined with truncation and variational arguments that does not require a subcritical growth condition.
资助项目National Natural Science Foundation of China[10671195] ; National Natural Science Foundation of China[10831005] ; National Natural Science Foundation of China[10971046]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000290031100004
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11282]  
专题数学所
通讯作者Motreanu, Dumitru
作者单位1.Univ Perpignan, Dept Math, F-66860 Perpignan, France
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Motreanu, Dumitru,Zhang, Zhitao. Constant Sign and Sign Changing Solutions for Systems of Quasilinear Elliptic Equations[J]. SET-VALUED AND VARIATIONAL ANALYSIS,2011,19(2):255-269.
APA Motreanu, Dumitru,&Zhang, Zhitao.(2011).Constant Sign and Sign Changing Solutions for Systems of Quasilinear Elliptic Equations.SET-VALUED AND VARIATIONAL ANALYSIS,19(2),255-269.
MLA Motreanu, Dumitru,et al."Constant Sign and Sign Changing Solutions for Systems of Quasilinear Elliptic Equations".SET-VALUED AND VARIATIONAL ANALYSIS 19.2(2011):255-269.

入库方式： OAI收割

来源：数学与系统科学研究院

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