Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems

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	Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
	Li, SJ ; Wang, ZQ
	2000
发表期刊	JOURNAL D ANALYSE MATHEMATIQUE
ISSN	0021-7670
卷号	81 页码:373-396
摘要	In this paper, we prove a mountain pass theorem in order intervals in which the position of the mountain pass point is given precisely in terms of the order structure. By using this result and constructing special flows, we deal with the existence of multiple solutions and sign-changing solutions for the following classes of elliptic Dirichlet boundary value problems: (1) nonlinear terms have concave property near zero and have superlinear but subcritical growth at infinity; (2) nonlinear terms are of the form h(x)f(u), with h(x) changing sign; (3) the asymptotically linear case. We obtain several new existence results of nodal solutions and give more comparable relations among the positive, negative and sign-changing solutions obtained. Our method is set up in an abstract setting and should be useful in other problems.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000089529200014
出版者	MAGNES PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15136
专题	中国科学院数学与系统科学研究院
通讯作者	Li, SJ
作者单位	1.Acad Sinica, Math Inst, Beijing 100080, Peoples R China 2.Utah State Univ, Dept Math, Logan, UT 84322 USA
推荐引用方式 GB/T 7714	Li, SJ,Wang, ZQ. Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems[J]. JOURNAL D ANALYSE MATHEMATIQUE,2000,81:373-396.
APA	Li, SJ,&Wang, ZQ.(2000).Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems.JOURNAL D ANALYSE MATHEMATIQUE,81,373-396.
MLA	Li, SJ,et al."Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems".JOURNAL D ANALYSE MATHEMATIQUE 81(2000):373-396.