Fractional critical systems with mixed boundary conditions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908675055026176 |
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| author | Kumar, R. Ortega, A. |
| author_facet | Kumar, R. Ortega, A. |
| contents | In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions. By means of variational methods and an orthogonalization-like process in the corresponding Sobolev space, we establish the existence of at least one weak solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional critical systems with mixed boundary conditions Kumar, R. Ortega, A. Analysis of PDEs Primary: 35J50, 35B33, 35R11, 35S15, Secondary: 35J61, 35Q55 In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions. By means of variational methods and an orthogonalization-like process in the corresponding Sobolev space, we establish the existence of at least one weak solution. |
| title | Fractional critical systems with mixed boundary conditions |
| topic | Analysis of PDEs Primary: 35J50, 35B33, 35R11, 35S15, Secondary: 35J61, 35Q55 |
| url | https://arxiv.org/abs/2510.04975 |