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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9919| Title: | Nonlocal Liouville theorems with gradient nonlinearity |
| Authors: | BISWAS, ANUP Quaas, Alexander Topp, Erwin Dept. of Mathematics |
| Keywords: | Lipschitz regularity Bernstein estimate Nonexistence Hamilton-Jacobi equations 2025-MAY-WEEK2 TOC-MAY-2025 2025 |
| Issue Date: | Oct-2025 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Functional Analysis, 289(08), 111008. |
| Abstract: | 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 Cirant and Goffi [24]. Some applications to regularity issues are also studied. |
| URI: | https://doi.org/10.1016/j.jfa.2025.111008 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9919 |
| ISSN: | 0022-1236 1096-0783 |
| Appears in Collections: | JOURNAL ARTICLES |
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