Infinitely many solutions of Dirac equations with concave and convex nonlinearities

doi:10.1007/s00033-021-01472-3

	Infinitely many solutions of Dirac equations with concave and convex nonlinearities
	Ding, Yanheng 1; Dong, Xiaojing 1,2
刊名	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
	2021-02-01
卷号	72 期号:1 页码:17
关键词	Dirac equation Generalized dual fountain theorem Concave and convex nonlinearities Non-periodic potential
ISSN号	0044-2275
DOI	10.1007/s00033-021-01472-3
英文摘要	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.
资助项目	National Science Foundation of China[NSFC11871242]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
WOS记录号	WOS:000616121000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58161]
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.