Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems

doi:10.1007/s00526-007-0138-1

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	Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems
	Li, Chong 2; Li, Shujie 1; Liu, Zhaoli 3
	2008-06-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	32 期号:2 页码:237-251
摘要	In this paper we study the jumping nonlinear problem [GRAPHICS] together with its energy functional j((b,a))(u)=1/2 integral(Omega)vertical bar del u vertical bar(2)-b(u(+))(2) - a(u(-))(2) , u epsilon H-0(1)(Omega). Convexity and concavity of J ((b,a))(u) in the case where Ky Fan's minimax theorem does not directly work is studied, existence of type (II) regions is verified, and unique solvability of the problem [GRAPHICS] is investigated.
DOI	10.1007/s00526-007-0138-1
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000254234500006
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5702
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Shujie
作者单位	1.Harbin Normal Univ, Yuan Rong Zeng Funct Ananl Res Ctr, Harbin 150025, Peoples R China 2.Acad Sinica, AMSS, Inst Math, Beijing 100080, Peoples R China 3.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
推荐引用方式 GB/T 7714	Li, Chong,Li, Shujie,Liu, Zhaoli. Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2008,32(2):237-251.
APA	Li, Chong,Li, Shujie,&Liu, Zhaoli.(2008).Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,32(2),237-251.
MLA	Li, Chong,et al."Existence of type (II) regions and convexity and concavity of potential functionals corresponding to jumping nonlinear problems".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 32.2(2008):237-251.