On the Eigenvalue Problem for the Hardy-Sobolev Operator with Indefinite Weights
| dc.contributor.author | Sreenadh, Konijeti | |
| dc.date.accessioned | 2020-08-05T17:30:06Z | |
| dc.date.available | 2020-08-05T17:30:06Z | |
| dc.date.issued | 2002-04-02 | |
| dc.description.abstract | In this paper we study the eigenvalue problem -Δpu - α(x) |u|p-2 u = λ|u|p-2u, u ∈ W1,p0 (Ω), where 1 < p ≤ N, Ω is a bounded domain containing 0 in ℝN, Δp is the p-Laplacean, and α(x) is a function related to Hardy-Sobolev inequality. The weight function V(x) ∈ Ls (Ω) may change sign and has nontrivial positive part. We study the simplicity, isolatedness of the first eigen-value, nodal domain properties. Furthermore we show the existence of a nontrivial curve in the Fučik spectrum. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Sreenadh, K. (2002). On the eigenvalue problem for the Hardy-Sobolev operator with indefinite weights. <i>Electronic Journal of Differential Equations, 2002</i>(33), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12307 | |
| 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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | p-Laplcean | |
| dc.subject | Hardy-Sobolev operator | |
| dc.subject | Fucik spectrum | |
| dc.subject | Indefinite weight | |
| dc.title | On the Eigenvalue Problem for the Hardy-Sobolev Operator with Indefinite Weights | |
| dc.type | Article |