Local multiplicity for fractional linear equations with Hardy potentials
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909418840391680 |
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| author | Mainini, Edoardo Ognibene, Roberto Volzone, Bruno |
| author_facet | Mainini, Edoardo Ognibene, Roberto Volzone, Bruno |
| contents | We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens in the local case. We also prove analogous results in the presence of a Hardy potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04414 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local multiplicity for fractional linear equations with Hardy potentials Mainini, Edoardo Ognibene, Roberto Volzone, Bruno Analysis of PDEs 35A02, 35R11, 35B40, 35J75 We exhibit existence of non-trivial solutions of some fractional linear Schrödinger equations which are radial and vanish at the origin. This is in stark contrast to what happens in the local case. We also prove analogous results in the presence of a Hardy potential. |
| title | Local multiplicity for fractional linear equations with Hardy potentials |
| topic | Analysis of PDEs 35A02, 35R11, 35B40, 35J75 |
| url | https://arxiv.org/abs/2407.04414 |