Singular perturbation for the first eigenfunction and blow-up analysis
Singular perturbation for the first eigenfunction and blow-up analysis
On a compact Riemannian manifold (Vm, g), we consider the second order positive operator , where − Δb is the Laplace-Beltrami operator and b is a Morse-Smale (MS) field, ɛ a small parameter. We study the measures which are the limits of the normalized first eigenfunctions of Lɛ as ɛ …