NONLINEAR LIOUVILLE THEOREMS AND A PRIORI ESTIMATES FOR INDEFINITE SUPERLINEAR ELLIPTIC EQUATIONS

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	NONLINEAR LIOUVILLE THEOREMS AND A PRIORI ESTIMATES FOR INDEFINITE SUPERLINEAR ELLIPTIC EQUATIONS
	Du, Yihong 1; Li, Shujie 2
	2005-08-01
发表期刊	ADVANCES IN DIFFERENTIAL EQUATIONS
ISSN	1079-9389
卷号	10 期号:8 页码:841-860
摘要	We establish two general nonlinear Liouville theorems for equations of the type -Delta u = h(x(1))f(u), u >= 0 in R-N, sup u(RN) < +infinity. We then show how these Liouville theorems can be used to obtain a priori estimates for positive solutions of indefinite superlinear elliptic equations for several new cases left open in previous research.
语种	英语
资助项目	Beijing at the Institute of Mathematics, Academia Sinica, under the Australian Academy of Science's China Exchange program
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208530900001
出版者	KHAYYAM PUBL CO INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1577
专题	中国科学院数学与系统科学研究院
通讯作者	Du, Yihong
作者单位	1.Univ New England, Sch Math Stat & Comp Sci, Armidale, NSW 2351, Australia 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Du, Yihong,Li, Shujie. NONLINEAR LIOUVILLE THEOREMS AND A PRIORI ESTIMATES FOR INDEFINITE SUPERLINEAR ELLIPTIC EQUATIONS[J]. ADVANCES IN DIFFERENTIAL EQUATIONS,2005,10(8):841-860.
APA	Du, Yihong,&Li, Shujie.(2005).NONLINEAR LIOUVILLE THEOREMS AND A PRIORI ESTIMATES FOR INDEFINITE SUPERLINEAR ELLIPTIC EQUATIONS.ADVANCES IN DIFFERENTIAL EQUATIONS,10(8),841-860.
MLA	Du, Yihong,et al."NONLINEAR LIOUVILLE THEOREMS AND A PRIORI ESTIMATES FOR INDEFINITE SUPERLINEAR ELLIPTIC EQUATIONS".ADVANCES IN DIFFERENTIAL EQUATIONS 10.8(2005):841-860.