Bernstein approximations of Dirichlet problems for elliptic operators on the plane
| dc.contributor.author | Gulgowski, Jacek | |
| dc.date.accessioned | 2021-08-11T20:13:23Z | |
| dc.date.available | 2021-08-11T20:13:23Z | |
| dc.date.issued | 2007-06-14 | |
| dc.description.abstract | We study the finitely dimensional approximations of the elliptic problem (Lu)(x, y) + φ(λ, (x, y), u(x, y)) = 0 for (x, y) ∈ Ω u(x, y) = 0 for (x, y) ∈ ∂Ω, defined for a smooth bounded domain Ω on a plane. The approximations are derived from Bernstein polynomials on a triangle or on a rectangle containing Ω. We deal with approximations of global bifurcation branches of nontrivial solutions as well as certain existence facts. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Gulgowski, J. (2007). Bernstein approximations of Dirichlet problems for elliptic operators on the plane. Electronic Journal of Differential Equations, 2007(86), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14281 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Dirichlet problems | |
| dc.subject | Bernstein polynomials | |
| dc.subject | Global bifurcation | |
| dc.title | Bernstein approximations of Dirichlet problems for elliptic operators on the plane | |
| dc.type | Article |