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EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS

文献类型：期刊论文

作者Dong, Xiaojing1,2,3; Mao, Anmin4
刊名SIAM JOURNAL ON MATHEMATICAL ANALYSIS
出版日期2021
卷号53期号:4页码:4965-4984
关键词quasilinear elliptic equation perturbation method genus theory
ISSN号0036-1410
DOI10.1137/20M1350741
英文摘要In this paper, we prove a class of general quasilinear elliptic equations which admits infinitely many negative energy solutions, where a more general quasilinear case and sublinear nonlinearity are taken into consideration. For this, we establish a new convergence theorem and introduce a weighted space together with Moser's iteration to recover the compactness; then we need to distinguish three cases according to the parameters to complete the proof.
资助项目National Natural Science Foundation of China[11471187] ; National Natural Science Foundation of China[11571197] ; SNSFC[ZR2020MA005]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000692288300041
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59257]  
专题中国科学院数学与系统科学研究院
通讯作者Mao, Anmin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Beijing Normal Univ, MOE, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
4.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
推荐引用方式
GB/T 7714		 Dong, Xiaojing,Mao, Anmin. EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2021,53(4):4965-4984.
APA Dong, Xiaojing,&Mao, Anmin.(2021).EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,53(4),4965-4984.
MLA Dong, Xiaojing,et al."EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 53.4(2021):4965-4984.

入库方式： OAI收割

来源：数学与系统科学研究院

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