The eigenvalue problem for a singular quasilinear elliptic equation
| dc.contributor.author | Xuan, Benjin | |
| dc.date.accessioned | 2021-04-05T18:55:46Z | |
| dc.date.available | 2021-04-05T18:55:46Z | |
| dc.date.issued | 2004-02-06 | |
| dc.description.abstract | We show that many results about the eigenvalues and eigenfunctions of a quasilinear elliptic equation in the non-singular case can be extended to the singular case. Among these results, we have the first eigenvalue is associated to a C1,α(Ω) eigenfunction which is positive and unique (up to a multiplicative constant), that is, the first eigenvalue is simple. Moreover the first eigenvalue is isolated and is the unique positive eigenvalue associated to a non-negative eigenfunction. We also prove some variational properties of the second eigenvalue. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Xuan, B. (2004). The eigenvalue problem for a singular quasilinear elliptic equation. <i>Electronic Journal of Differential Equations, 2004</i>(16), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13335 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, 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: Southwest Texas State University and University of North Texas. | |
| dc.subject | Singular quasilinear elliptic equation | |
| dc.subject | Eigenvalue problem | |
| dc.subject | Caffarelli-Kohn-Nirenberg inequality | |
| dc.title | The eigenvalue problem for a singular quasilinear elliptic equation | en_US |
| dc.type | Article |