A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian
NONLINEARITY
| dc.creator | Quaas-Berger, Alexander | |
| dc.creator | Xia, Aliang | |
| dc.date | 2021-08-23T22:55:05Z | |
| dc.date | 2022-07-07T02:30:59Z | |
| dc.date | 2021-08-23T22:55:05Z | |
| dc.date | 2022-07-07T02:30:59Z | |
| dc.date | 2016 | |
| dc.date.accessioned | 2023-08-22T05:13:03Z | |
| dc.date.available | 2023-08-22T05:13:03Z | |
| dc.identifier | 1151180 | |
| dc.identifier | 1151180 | |
| dc.identifier | https://hdl.handle.net/10533/251548 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8323205 | |
| dc.description | We establish a Liouville type theorem for the fractional Lane-Emden system: {(-Delta)(alpha)u = v(q) in R-N, (-Delta)(alpha)v = u(p) in R-N, where alpha is an element of (0, 1), N > 2 alpha and p, q are positive real numbers and in an appropriate new range. To prove our result we will use the local realization of fractional Laplacian, which can be constructed as a Dirichlet-to-Neumann operator of a degenerate elliptic equation in the spirit of Caffarelli and Silvestre (2007 Commun. PDE 32 1245-60). Our proof is based on a monotonicity argument for suitable transformed functions and the method of moving planes in a half infinite cylinder (IR x S-+(N), where S-+(N) is the half unit sphere in RN+1) based on maximum principles which are obtained by barrier functions and a coupling argument using a fractional Sobolev trace inequality. | |
| dc.description | Regular 2015 | |
| dc.description | FONDECYT | |
| dc.description | FONDECYT | |
| dc.language | eng | |
| dc.relation | handle/10533/111557 | |
| dc.relation | handle/10533/111541 | |
| dc.relation | handle/10533/108045 | |
| dc.relation | https://doi.org/10.1088/0951-7715/29/8/2279 | |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | info:eu-repo/semantics/article | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.title | A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian | |
| dc.title | NONLINEARITY | |
| dc.type | Articulo | |
| dc.type | info:eu-repo/semantics/publishedVersion |