Concentration phenomena for fourth-order elliptic equations with critical exponent
| dc.contributor.author | Hammami, Mokhless | |
| dc.date.accessioned | 2021-05-14T16:14:32Z | |
| dc.date.available | 2021-05-14T16:14:32Z | |
| dc.date.issued | 2004-10-14 | |
| dc.description.abstract | We consider the nonlinear equation Δ2u = u n+4/n-4 - εu with u > 0 in Ω and u = Δu = 0 on ∂Ω. Where Ω is a smooth bounded domain in ℝn, n ≥ 9, and ε is a small positive parameter. We study the existence of solutions which concentrate around one or two points of Ω. We show that this problem has no solutions that concentrate around a point of Ω as ε approaches 0. In contract to this, we construct a domain for which there exists a family of solutions which blow-up and concentrate in two different points of Ω as ε approaches 0. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 22 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Hammami, M. (2004). Concentration phenomena for fourth-order elliptic equations with critical exponent. <i>Electronic Journal of Differential Equations, 2004</i>(121), pp. 1-22. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13542 | |
| 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 | Fourth order elliptic equations | |
| dc.subject | Critical Sobolev exponent | |
| dc.subject | Blowup solution | |
| dc.title | Concentration phenomena for fourth-order elliptic equations with critical exponent | en_US |
| dc.type | Article |