On a fractional $p$-Laplacian problem in the whole space and with singular reaction
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916056282431488 |
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| author | Gambera, Laura Marano, Salvatore A. |
| author_facet | Gambera, Laura Marano, Salvatore A. |
| contents | The existence of positive, pointwise decaying at infinity, weak solutions to a fractional $p$-Laplacian problem in the whole space and with singular reaction is established. Truncation arguments, variational methods, as well as suitable a priori estimates are exploited. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28638 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a fractional $p$-Laplacian problem in the whole space and with singular reaction Gambera, Laura Marano, Salvatore A. Analysis of PDEs 35J60, 35J75, 35D30, 35B08 The existence of positive, pointwise decaying at infinity, weak solutions to a fractional $p$-Laplacian problem in the whole space and with singular reaction is established. Truncation arguments, variational methods, as well as suitable a priori estimates are exploited. |
| title | On a fractional $p$-Laplacian problem in the whole space and with singular reaction |
| topic | Analysis of PDEs 35J60, 35J75, 35D30, 35B08 |
| url | https://arxiv.org/abs/2605.28638 |