Non-Kirchhoff Vertices and NLS Ground States on graphs
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866914892001312768 |
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| author | Adami, Riccardo Boni, Filippo Ruighi, Alice |
| author_facet | Adami, Riccardo Boni, Filippo Ruighi, Alice |
| contents | We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrödinger Equation on graphs endowed with vertices where the matching condition, instead of being free (or Kirchhoff's), is non-trivially interacting. In this category fall Dirac's delta conditions, delta prime, Fülöp-Tsutsui, and others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_05495 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Non-Kirchhoff Vertices and NLS Ground States on graphs Adami, Riccardo Boni, Filippo Ruighi, Alice Analysis of PDEs We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrödinger Equation on graphs endowed with vertices where the matching condition, instead of being free (or Kirchhoff's), is non-trivially interacting. In this category fall Dirac's delta conditions, delta prime, Fülöp-Tsutsui, and others. |
| title | Non-Kirchhoff Vertices and NLS Ground States on graphs |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2003.05495 |