Elliptic equations in R-2 with one-sided exponential growth

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	Elliptic equations in R-2 with one-sided exponential growth
	Zhang, ZT; Calanchi, M ; Ruf, B
	2004-12-01
发表期刊	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN	0219-1997
卷号	6 期号:6 页码:947-971
摘要	We consider elliptic equations in bounded domains Omega subset of R-2 with nonlinearities which have exponential growth at +infinity (subcritical and critical growth, respectively) and linear growth lambda at -infinity, with lambda > lambda(1), the first eigen value of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms; one solution is negative: the other one is sign-changing. Some critical groups and Morse index of these solutions are given. Also the case lambda < lambda(1) is considered.
关键词	critical points one-sided exponential growth sign-changing solutions critical growth
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000226472100006
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/636
专题	数学所
通讯作者	Zhang, ZT
作者单位	1.Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, ZT,Calanchi, M,Ruf, B. Elliptic equations in R-2 with one-sided exponential growth[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,2004,6(6):947-971.
APA	Zhang, ZT,Calanchi, M,&Ruf, B.(2004).Elliptic equations in R-2 with one-sided exponential growth.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS,6(6),947-971.
MLA	Zhang, ZT,et al."Elliptic equations in R-2 with one-sided exponential growth".COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 6.6(2004):947-971.