Infinitely many solutions of Dirac equations with concave and convex nonlinearities

doi:10.1007/s00033-021-01472-3

CSpace

	Infinitely many solutions of Dirac equations with concave and convex nonlinearities
	Ding, Yanheng 1; Dong, Xiaojing 1,2
	2021-02-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	72 期号:1 页码:17
摘要	We consider non-periodic Dirac equations with nonlinearities which involve a combination of concave and convex terms. Using variational methods, we prove the existence of infinitely many large and small energy solutions. For small energy solutions, we establish a new critical point theorem which generalize the dual Fountain Theorem of Bartsch and Willen, by using the index theory and the P-topology. Some non-periodic conditions on the whole space R-3 are given in order to overcome the lack of compactness.
关键词	Dirac equation Generalized dual fountain theorem Concave and convex nonlinearities Non-periodic potential
DOI	10.1007/s00033-021-01472-3
收录类别	SCI
语种	英语
资助项目	National Science Foundation of China[NSFC11871242]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000616121000001
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58162
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, Yanheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Ding, Yanheng,Dong, Xiaojing. Infinitely many solutions of Dirac equations with concave and convex nonlinearities[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2021,72(1):17.
APA	Ding, Yanheng,&Dong, Xiaojing.(2021).Infinitely many solutions of Dirac equations with concave and convex nonlinearities.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,72(1),17.
MLA	Ding, Yanheng,et al."Infinitely many solutions of Dirac equations with concave and convex nonlinearities".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 72.1(2021):17.