Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores
| dc.contributor.author | Garcia-Melian, Jorge | |
| dc.date.accessioned | 2021-05-03T20:52:37Z | |
| dc.date.available | 2021-05-03T20:52:37Z | |
| dc.date.issued | 2004-09-21 | |
| dc.description.abstract | In this work we study the problem -div (|∇u|p-2 ∇u) = λƒ(u) in the unit ball of ℝN, with u = 0 on the boundary, where p > 2, and λ is a real parameter. We assume that the nonlinearity ƒ has a zero ū0 > 0 of order k ≥ p-1. Our main contribution is showing that there exists a unique positive solution of this problem for large enough λ and maximum close to ū0. This will be achieved by means of a linearization technique, and we also prove the new result that the inverse of the p-Laplacian is differentiable around positive solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | García-Melián, J. (2004). Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores. <i>Electronic Journal of Differential Equations, 2004</i>(110), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13483 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | p-Laplacian | |
| dc.subject | Linearization | |
| dc.subject | Uniqueness | |
| dc.title | Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores | |
| dc.type | Article |