EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS

doi:10.1137/20M1350741

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	EXISTENCE AND MULTIPLICITY RESULTS FOR GENERAL QUASILINEAR ELLIPTIC EQUATIONS
	Dong, Xiaojing 1,2,3; Mao, Anmin 4
	2021
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	53 期号:4 页码:4965-4984
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.
关键词	quasilinear elliptic equation perturbation method genus theory
DOI	10.1137/20M1350741
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000692288300041
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59258
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.