Existence of solutions with prescribed frequency for the perturbed Schrödinger-Bopp-Podolsky system in bounded domains
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918085297963008 |
|---|---|
| author | Afonso, Danilo Gregorin Mascaro, Bruno |
| author_facet | Afonso, Danilo Gregorin Mascaro, Bruno |
| contents | In this paper, we show that the Schrödinger-Bopp-Podolsky system with Dirichlet boundary conditions in a bounded domain possesses infinitely many solutions of prescribed frequency, for any set of (continuous) boundary conditions, provided that the Schrödinger equation is perturbed with a suitable nonlinearity. Our approach is variational, and our proof is based on a symmetric variant of the Mountain Pass theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04914 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of solutions with prescribed frequency for the perturbed Schrödinger-Bopp-Podolsky system in bounded domains Afonso, Danilo Gregorin Mascaro, Bruno Analysis of PDEs 35D30, 35J10, 35J20, 35J35, 35J40, 35J58, 35J91, 35Q40 In this paper, we show that the Schrödinger-Bopp-Podolsky system with Dirichlet boundary conditions in a bounded domain possesses infinitely many solutions of prescribed frequency, for any set of (continuous) boundary conditions, provided that the Schrödinger equation is perturbed with a suitable nonlinearity. Our approach is variational, and our proof is based on a symmetric variant of the Mountain Pass theorem. |
| title | Existence of solutions with prescribed frequency for the perturbed Schrödinger-Bopp-Podolsky system in bounded domains |
| topic | Analysis of PDEs 35D30, 35J10, 35J20, 35J35, 35J40, 35J58, 35J91, 35Q40 |
| url | https://arxiv.org/abs/2507.04914 |