Nonlocal Liouville theorems with gradient nonlinearity
Year: 2024
Type: preprint
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 [24]. Some applications to regularity issues are also studied.
Source: arXiv (Cornell University)
Authors: Biswas, Anup, Quaas, Alexander, Topp, Erwin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6892030260
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