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Nodal solutions for a supercritical semilinear problem with variable exponent
Cao, Daomin1,2; Li, Shuanglong2; Liu, Zhongyuan3
2018-04-01
Source PublicationCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN0944-2669
Volume57Issue:2Pages:19
AbstractIn 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.
DOI10.1007/s00526-018-1305-2
Language英语
Funding ProjectNSFC[11771469] ; NSFC[11688101] ; NSFC[11501166] ; Key Laboratory of Random Complex Strutures and Data Science
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000431004800005
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30225
Collection应用数学研究所
Corresponding AuthorLiu, Zhongyuan
Affiliation1.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
Recommended Citation
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.
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