Nodal solutions for a supercritical semilinear problem with variable exponent

doi:10.1007/s00526-018-1305-2

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	Nodal solutions for a supercritical semilinear problem with variable exponent
	Cao, Daomin1,2 ; Li, Shuanglong 2; Liu, Zhongyuan 3
	2018-04-01
发表期刊	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0944-2669
卷号	57 期号:2 页码:19
摘要	In this paper, we are concerned with the following nonlinear supercritical elliptic problem with variable exponent, {- Delta u = vertical bar u vertical bar(2+vertical bar x vertical bar alpha-2)u, in B-1 (0), u = 0, on partial derivative B-1 (0), where 2 = 2N/N-2, 0 < alpha < min{N/2, N - 2}, and B-1(0) is the unit ball in R-N, N >= 3. For any k is an element of N, we find, by variational methods, a pair of nodal solutions for this problem, which has exactly k nodal points.
DOI	10.1007/s00526-018-1305-2
语种	英语
资助项目	NSFC[11771469] ; NSFC[11688101] ; NSFC[11501166] ; Key Laboratory of Random Complex Strutures and Data Science
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000431004800005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30225
专题	应用数学研究所
通讯作者	Liu, Zhongyuan
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Henan Univ, Sch Math & Stat, Kaifeng 475004, Henan, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Li, Shuanglong,Liu, Zhongyuan. Nodal solutions for a supercritical semilinear problem with variable exponent[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2018,57(2):19.
APA	Cao, Daomin,Li, Shuanglong,&Liu, Zhongyuan.(2018).Nodal solutions for a supercritical semilinear problem with variable exponent.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,57(2),19.
MLA	Cao, Daomin,et al."Nodal solutions for a supercritical semilinear problem with variable exponent".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 57.2(2018):19.