Existence Results for Singular Anisotropic Elliptic Boundary-value Problems
| dc.contributor.author | Kim, Eun Heui | |
| dc.date.accessioned | 2019-12-18T20:38:41Z | |
| dc.date.available | 2019-12-18T20:38:41Z | |
| dc.date.issued | 2000-02-29 | |
| dc.description.abstract | We establish the existence of a positive solution for anisotropic singular quasilinear elliptic boundary-value problems. As an example of the problems studied we have uα uxx+ ub uyy + λ (u + 1)α+r = 0 with zero Dirichlet boundary condition, on a bounded convex domain in ℝ2. Here 0 ≤ b ≤ α, and λ, r are positive constants. When 0 < r < 1 (sublinear case), for each positive λ there exists a positive solution. On the other hand when r > 1 (superlinear case), there exists a positive constant λ* such that for λ in (0, λ*) there exists a positive solution, and for λ* < λ there is no positive solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kim, E. H. (2000). Existence results for singular anisotropic elliptic boundary-value problems. <i>Electronic Journal of Differential Equations, 2000</i>(17), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9117 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Anisotropic | |
| dc.subject | Singular | |
| dc.subject | Sublinear | |
| dc.subject | Superlinear | |
| dc.subject | Elliptic boundary-value problems | |
| dc.title | Existence Results for Singular Anisotropic Elliptic Boundary-value Problems | |
| dc.type | Article |