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W-1,W-p versus C-1 local minimizers and multiplicity results for quasilinear elliptic equations
Guo, ZM; Zhang, ZT
2003-10-01
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume286Issue:1Pages:32-50
AbstractIn this paper we show that the local minimizers of a class of functionals in the C-1-topology are still their local minimizers in W-0(1,p) (Omega). Using this fact, we study the multiplicity of solutions for a class of quasilinear elliptic equations via critical point theory. (C) 2003 Elsevier Inc. All rights reserved.
Keywordquasilinear eigenvalue problems multiple solutions
DOI10.1016/S0022-247X(03)00282-8
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000185777500003
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:91[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18188
Collection中国科学院数学与系统科学研究院
Affiliation1.Henan Normal Univ, Dept Math, Xinxiang 453002, Peoples R China
2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Guo, ZM,Zhang, ZT. W-1,W-p versus C-1 local minimizers and multiplicity results for quasilinear elliptic equations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,286(1):32-50.
APA Guo, ZM,&Zhang, ZT.(2003).W-1,W-p versus C-1 local minimizers and multiplicity results for quasilinear elliptic equations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,286(1),32-50.
MLA Guo, ZM,et al."W-1,W-p versus C-1 local minimizers and multiplicity results for quasilinear elliptic equations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 286.1(2003):32-50.
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