Optimal result involving the Green's function
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909466434207744 |
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| author | Boucheche, Zakaria |
| author_facet | Boucheche, Zakaria |
| contents | We investigate a borderline between existence and non-existence of positive solution for a nonlinear elliptic equation involving a critical Sobolev exponent in three-dimensional ball. The method is relied on a suitable choice of the functions used to test two natural ingredients for the associated variational problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15241 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimal result involving the Green's function Boucheche, Zakaria Analysis of PDEs 35J60, 35B33, 35B09, 35J08, 35A01, 49K15 We investigate a borderline between existence and non-existence of positive solution for a nonlinear elliptic equation involving a critical Sobolev exponent in three-dimensional ball. The method is relied on a suitable choice of the functions used to test two natural ingredients for the associated variational problem. |
| title | Optimal result involving the Green's function |
| topic | Analysis of PDEs 35J60, 35B33, 35B09, 35J08, 35A01, 49K15 |
| url | https://arxiv.org/abs/2501.15241 |