A double-phase Neumann problem with $p=1$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914039520559104 |
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| author | Matsoukas, Alexandros Yannakakis, Nikos |
| author_facet | Matsoukas, Alexandros Yannakakis, Nikos |
| contents | We study a double-phase Neumann problem with non-homogeneous boundary conditions, where the lowest exponent $p$ is equal to 1. The existence of a solution is established as the limit of solutions to corresponding double-phase problems with $p>1$. We also provide a variational characterization of the limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13772 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A double-phase Neumann problem with $p=1$ Matsoukas, Alexandros Yannakakis, Nikos Analysis of PDEs Primary 35J60, 35J25, 35J75 Secondary 46E35, 35J92, 35D30 We study a double-phase Neumann problem with non-homogeneous boundary conditions, where the lowest exponent $p$ is equal to 1. The existence of a solution is established as the limit of solutions to corresponding double-phase problems with $p>1$. We also provide a variational characterization of the limit. |
| title | A double-phase Neumann problem with $p=1$ |
| topic | Analysis of PDEs Primary 35J60, 35J25, 35J75 Secondary 46E35, 35J92, 35D30 |
| url | https://arxiv.org/abs/2508.13772 |