Infinitely many solutions of Dirac equations with concave and convex nonlinearities
文献类型：期刊论文
| 作者 | Ding, Yanheng1; Dong, Xiaojing1,2 |
| 刊名 | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000616121000001 |
| 出版者 | SPRINGER INTERNATIONAL PUBLISHING AG |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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