Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients
Date
2000-05-16
Authors
Bucur, Dorin
Varchon, Nicolas
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
First eigenvalue, Dirichlet boundary, Non-constant coeffcients, Optimal domain
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.
Rights
Attribution 4.0 International