Nonlocal Liouville theorems with gradient nonlinearity
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929721658310656 |
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| author | Biswas, Anup Quaas, Alexander Topp, Erwin |
| author_facet | Biswas, Anup Quaas, Alexander Topp, Erwin |
| contents | In this article we consider a large family of nonlinear nonlocal equations involving gradient nonlinearity and provide a unified approach, based on the Ishii-Lions type technique, to establish Liouville properties of the solutions. We also answer an open problem raised by [24]. Some applications to regularity issues are also studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16147 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlocal Liouville theorems with gradient nonlinearity Biswas, Anup Quaas, Alexander Topp, Erwin Analysis of PDEs In this article we consider a large family of nonlinear nonlocal equations involving gradient nonlinearity and provide a unified approach, based on the Ishii-Lions type technique, to establish Liouville properties of the solutions. We also answer an open problem raised by [24]. Some applications to regularity issues are also studied. |
| title | Nonlocal Liouville theorems with gradient nonlinearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.16147 |