Isoperimetric properties of higher eigenvalues of elliptic operators
Isoperimetric properties of higher eigenvalues of elliptic operators
We prove, in the setting of a measure energy space ( M , μ, (Ɛ,Ƒ)), that if the smallest eigenvalue λ 1 (Ω) of the generator of the Dirichlet form Ɛ in any precompact open set Ω ⊂ M admits the estimate λ 1 (Ω) ≥ ν(Ω) -α where ν …