3 citations · 9 across the 5 of their papers we have counts for
5 papers
Non-stability of Paneitz-Branson equations in arbitrary dimensions
Laurent Bakri, Jean-Baptiste Castéras
Let be a compact riemannian manifold of dimension . We are interested in the stability of a slighly subcritical Paneitz-Branson type equation on . Assuming that…
Quantitative uniqueness for Schrodinger operator with regular potentials
Laurent Bakri, Jean-Baptiste Casteras
We give a sharp upper bound on the vanishing order of solutions to Schrodinger equation with C^1 electric and magnetic potentials on a compact smooth manifold. Our method is based…
Vanishing order of solutions to Schrodinger equation
Laurent Bakri
We study the possible vanishing order of solutions to Schrodinger equation in case the potential is a bounded function. We give an upper bound on compact manifold. We also show tha…
Quantitative uniqueness for Schrödinger operator
Laurent Bakri
We give a sharp upper bound on the vanishing order of solutions to Schrödinger equation, in the case that the potential is of class on a smooth compact manifold.
Critical set of eigenfunctions of the Laplacian
Laurent Bakri
We give an upper bound for the -dimensional Hausdorff measure of the critical set of eigenfunctions of the Laplacian on compact analytic Riemannian manifolds. This is the an…