Some Observations on the First Eigenvalue of the p-Laplacian and its Connections with Asymmetry
| dc.contributor.author | Bhattacharya, Tilak | |
| dc.date.accessioned | 2020-06-03T17:59:34Z | |
| dc.date.available | 2020-06-03T17:59:34Z | |
| dc.date.issued | 2001-05-16 | |
| dc.description.abstract | In this work, we present a lower bound for the first eigenvalue of the p-Laplacian on bounded domains in ℝ2. Let λ1 be the first eigenvalue and λ*1 be the first eigenvalue for the ball of the same volume. Then we show that, λ1 ≥ λ*1 (1 + Cα(Ω)3, for some constant C, where α is the asymmetry of the domain Ω. This provides a lower bound sharper than the bound in Faber-Krahn inequality. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bhattacharya, T. (2001). Some observations on the first eigenvalue of the p-Laplacian and its connections with asymmetry. <i>Electronic Journal of Differential Equations, 2001</i>(35), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/11106 | |
| 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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Asymmetry | |
| dc.subject | De Giorgi perimeter | |
| dc.subject | p-Laplacian | |
| dc.subject | First eigenvalue | |
| dc.subject | Talenti's inequality | |
| dc.title | Some Observations on the First Eigenvalue of the p-Laplacian and its Connections with Asymmetry | |
| dc.type | Article |