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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.12835 |
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| _version_ | 1866914390833364992 |
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| author | Lee, Chiun-Chang |
| author_facet | Lee, Chiun-Chang |
| contents | The focus of this study is on exploring some qualitative properties of solutions to a class of semilinear elliptic problems in bounded domains, where the boundary conditions depend non-locally on the unknown solution at specified interior points and its integral. The primary approach integrates a fixed-point argument with refined asymptotic estimates to establish the existence and structure of solutions. Furthermore, the maximum principles are established under practical nonlocal-type boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12835 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An existence theorem for elliptic equations with nonlocal boundary conditions Lee, Chiun-Chang Analysis of PDEs The focus of this study is on exploring some qualitative properties of solutions to a class of semilinear elliptic problems in bounded domains, where the boundary conditions depend non-locally on the unknown solution at specified interior points and its integral. The primary approach integrates a fixed-point argument with refined asymptotic estimates to establish the existence and structure of solutions. Furthermore, the maximum principles are established under practical nonlocal-type boundary conditions. |
| title | An existence theorem for elliptic equations with nonlocal boundary conditions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.12835 |