Given a strongly local, regular and irreducible Dirichlet form , we prove a version of Persson’s theorem concerning the variational characterization of the bottom of the essential spectrum of the generator of . Such a result is then used to prove -exponential decay of the "small eigenfunctions" of .
Cite this article
Gabriele Grillo, On Persson’s Theorem in Local Dirichiet Spaces. Z. Anal. Anwend. 17 (1998), no. 2, pp. 329–338DOI 10.4171/ZAA/825