Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems
In the present article, we study multiplicity of semi-classical solutions of a Yukawa-coupled massive Dirac-Klein-Gordon system with the general nonlinear self-coupling, which is either subcritical or critical growth. The number of solutions obtained is described by the ratio of maximum and behavior...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-07-01
|
| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2022-0011 |
| _version_ | 1797998125626949632 |
|---|---|
| author | Ding Yanheng Yu Yuanyang Dong Xiaojing |
| author_facet | Ding Yanheng Yu Yuanyang Dong Xiaojing |
| author_sort | Ding Yanheng |
| collection | DOAJ |
| description | In the present article, we study multiplicity of semi-classical solutions of a Yukawa-coupled massive Dirac-Klein-Gordon system with the general nonlinear self-coupling, which is either subcritical or critical growth. The number of solutions obtained is described by the ratio of maximum and behavior at infinity of the potentials. We use the variational method that relies upon a delicate cutting off technique. It allows us to overcome the lack of convexity of the nonlinearities. |
| first_indexed | 2024-04-11T10:43:38Z |
| format | Article |
| id | doaj.art-a64033da816e45cfa0075e51cc875ce4 |
| institution | Directory Open Access Journal |
| issn | 2169-0375 |
| language | English |
| last_indexed | 2024-04-11T10:43:38Z |
| publishDate | 2022-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-a64033da816e45cfa0075e51cc875ce42022-12-22T04:29:08ZengDe GruyterAdvanced Nonlinear Studies2169-03752022-07-0122124827210.1515/ans-2022-0011Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systemsDing Yanheng0Yu Yuanyang1Dong Xiaojing2School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, MOE, Beijing Normal University, 100875 Beijing, ChinaSchool of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, MOE, Beijing Normal University, 100875 Beijing, ChinaSchool of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, MOE, Beijing Normal University, 100875 Beijing, ChinaIn the present article, we study multiplicity of semi-classical solutions of a Yukawa-coupled massive Dirac-Klein-Gordon system with the general nonlinear self-coupling, which is either subcritical or critical growth. The number of solutions obtained is described by the ratio of maximum and behavior at infinity of the potentials. We use the variational method that relies upon a delicate cutting off technique. It allows us to overcome the lack of convexity of the nonlinearities.https://doi.org/10.1515/ans-2022-0011dirac-klein-gordon systemsemi-classical statesmultiplicitysubcritical and critical nonlinearities35q4049j35 |
| spellingShingle | Ding Yanheng Yu Yuanyang Dong Xiaojing Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems Advanced Nonlinear Studies dirac-klein-gordon system semi-classical states multiplicity subcritical and critical nonlinearities 35q40 49j35 |
| title | Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems |
| title_full | Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems |
| title_fullStr | Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems |
| title_full_unstemmed | Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems |
| title_short | Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems |
| title_sort | multiplicity and concentration of semi classical solutions to nonlinear dirac klein gordon systems |
| topic | dirac-klein-gordon system semi-classical states multiplicity subcritical and critical nonlinearities 35q40 49j35 |
| url | https://doi.org/10.1515/ans-2022-0011 |
| work_keys_str_mv | AT dingyanheng multiplicityandconcentrationofsemiclassicalsolutionstononlineardirackleingordonsystems AT yuyuanyang multiplicityandconcentrationofsemiclassicalsolutionstononlineardirackleingordonsystems AT dongxiaojing multiplicityandconcentrationofsemiclassicalsolutionstononlineardirackleingordonsystems |