An inhomogeneous p-laplacian equation with a Hardy potential
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917738197286912 |
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| author | da Silva, Genival |
| author_facet | da Silva, Genival |
| contents | In this work we study the existence and regularity of solutions to the following equation: $$-Δ_p u + g(x) u = \fracλ{|x|^{p}} |u|^{p-2}u + f,$$ where $1< p < N$ and $f\in L^m$, where $m\ge 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21747 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An inhomogeneous p-laplacian equation with a Hardy potential da Silva, Genival Analysis of PDEs 35J92, 35J15, 35B65, 35A01 In this work we study the existence and regularity of solutions to the following equation: $$-Δ_p u + g(x) u = \fracλ{|x|^{p}} |u|^{p-2}u + f,$$ where $1< p < N$ and $f\in L^m$, where $m\ge 1$. |
| title | An inhomogeneous p-laplacian equation with a Hardy potential |
| topic | Analysis of PDEs 35J92, 35J15, 35B65, 35A01 |
| url | https://arxiv.org/abs/2407.21747 |