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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.13090 |
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| _version_ | 1866929652092633088 |
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| author | Gonzálvez, Irene Miranda, Alfredo Rossi, Julio D. |
| author_facet | Gonzálvez, Irene Miranda, Alfredo Rossi, Julio D. |
| contents | In this paper we study the two membranes problem for operators given in terms of a mean value formula on a regular tree. We show existence of solutions under adequate conditions on the boundary data and the involved source terms. We also show that, when the boundary data are strictly separated, the coincidence set is separated from the boundary and thus it contains only a finite number of nodes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13090 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The two membranes problem in a regular tree Gonzálvez, Irene Miranda, Alfredo Rossi, Julio D. Analysis of PDEs In this paper we study the two membranes problem for operators given in terms of a mean value formula on a regular tree. We show existence of solutions under adequate conditions on the boundary data and the involved source terms. We also show that, when the boundary data are strictly separated, the coincidence set is separated from the boundary and thus it contains only a finite number of nodes. |
| title | The two membranes problem in a regular tree |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.13090 |