ELLIPTIC PROBLEM IN AN EXTERIOR DOMAIN DRIVEN BY A SINGULARITY WITH A NONLOCAL NEUMANN CONDITION
| dc.contributor.author | Choudhuri D.; Saoudi K. | en_US |
| dc.date.accessioned | 2025-02-17T10:35:13Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We prove existence of a ground state solution to the following problem. (Formula presented) where N \geq 2, \lambda > 0, 0 < s, \gamma < 1, p \in (1, 2\asts -1) with (Formula presented). Moreover, (Formula presented) is a smooth bounded domain, (-\Delta)s denotes the s-fractional Laplacian and finally Ns denotes a nonlocal operator that describes the Neumann boundary condition. We further establish existence of infinitely many bounded solutions to the problem. � (2023), (Institute of Mathematics). All rights reserved. | en_US |
| dc.identifier.citation | 0 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.31392/MFAT-npu26_1-2.2023.02 | |
| dc.identifier.uri | https://idr.iitbbs.ac.in/handle/2008/4876 | |
| dc.language.iso | en | en_US |
| dc.subject | Fractional Laplacian; ground state solution; Kirchhoff operator; singularity; variable order fractional Sobolev space | en_US |
| dc.title | ELLIPTIC PROBLEM IN AN EXTERIOR DOMAIN DRIVEN BY A SINGULARITY WITH A NONLOCAL NEUMANN CONDITION | en_US |
| dc.type | Article | en_US |