Nonlocal Liouville theorems with gradient nonlinearity

dc.contributor.author	BISWAS, ANUP	en_US
dc.contributor.author	Quaas, Alexander	en_US
dc.contributor.author	Topp, Erwin	en_US
dc.date.accessioned	2025-05-09T06:31:12Z
dc.date.available	2025-05-09T06:31:12Z
dc.date.issued	2025-10	en_US
dc.identifier.citation	Journal of Functional Analysis, 289(08).	en_US
dc.identifier.issn	0022-1236	en_US
dc.identifier.uri	https://doi.org/10.1016/j.jfa.2025.111008	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9810
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Lipschitz regularity	en_US
dc.subject	Bernstein estimate	en_US
dc.subject	Nonexistence	en_US
dc.subject	Hamilton-Jacobi equations	en_US
dc.subject	2025-MAY-WEEK1	en_US
dc.subject	TOC-MAY-2025	en_US
dc.subject	2025	en_US
dc.title	Nonlocal Liouville theorems with gradient nonlinearity	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Functional Analysis	en_US
dc.publication.originofpublisher	Foreign	en_US