Critical second-order elliptic equation with zero Dirichlet boundary condition in four dimensions
| dc.contributor.author | Boucheche, Zakaria | |
| dc.contributor.author | Chtioui, Hichem | |
| dc.contributor.author | Hajaiej, Hichem | |
| dc.date.accessioned | 2022-01-10T15:53:59Z | |
| dc.date.available | 2022-01-10T15:53:59Z | |
| dc.date.issued | 2018-03-02 | |
| dc.description.abstract | We are concerned with the nonlinear critical problem -∆u = K(x)u3, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a bounded domain of ℝ4. Under the assumption that K is strictly decreasing in the outward normal direction on ∂Ω and degenerate at its critical points for an order β ∈ (1, 4), we provide a complete description of the lack of compactness of the associated variational problem and we prove an existence result of Bahri-Coron type. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 32 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Boucheche, Z., Chtioui, H., & Hajaiej, H. (2018). Critical second-order elliptic equation with zero Dirichlet boundary condition in four dimensions. <i>Electronic Journal of Differential Equations, 2018</i>(60), pp. 1-32. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15116 | |
| dc.language.iso | en | |
| dc.publisher | 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Elliptic equation | |
| dc.subject | Critical Sobolev exponent | |
| dc.subject | Variational method | |
| dc.subject | Critical point at infinity | |
| dc.title | Critical second-order elliptic equation with zero Dirichlet boundary condition in four dimensions | |
| dc.type | Article |