Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients
| dc.contributor.author | Bucur, Dorin | |
| dc.contributor.author | Varchon, Nicolas | |
| dc.date.accessioned | 2019-12-11T17:51:13Z | |
| dc.date.available | 2019-12-11T17:51:13Z | |
| dc.date.issued | 2000-05-16 | |
| dc.description.abstract | We consider an elliptic operator, in divergence form, that is a uniformly elliptic matrix. We describe the behavior of every sequence of domains which minimizes the first Dirichlet eigenvalue over a family of fixed measure domains of ℝN. The existence of minimizers is proved in some particular situations, for example when the operator is periodic. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bucur, D., & Varchon, N. (2000). Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients. <i>Electronic Journal of Differential Equations, 2000</i>(36), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9054 | |
| 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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | First eigenvalue | |
| dc.subject | Dirichlet boundary | |
| dc.subject | Non-constant coeffcients | |
| dc.subject | Optimal domain | |
| dc.title | Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients | |
| dc.type | Article |