Global minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficients

Bucur, DorinVarchon, Nicolas2019-12-112019-12-112000-05-16Bucur, 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. 1-10.1072-6691https://hdl.handle.net/10877/9054We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalFirst eigenvalueDirichlet boundaryNon-constant coeffcientsOptimal domainGlobal minimizing domains for the first eigenvalue of an elliptic operator with non-constant coefficientsArticle