4 papers · 1 filter
Lower bounds for the low Steklov eigenvalues
Tirumala Chakradhar, Bruno Colbois, Asma Hassannezhad
For a compact, connected, orientable Riemannian manifold with boundary components, we obtain geometric lower bounds for the low Steklov eigenvalues, namely , $1\le k\le b-…
Lower bounds for the eigenvalues of the Hodge Laplacian on certain non-convex domains
Tirumala Chakradhar, Pierre Nicolle-Guerini
We establish geometric lower bounds for the smallest positive eigenvalue of the Hodge Laplacian in the class of non-convex domains given by Euclidean annular regions with a convex…
Eigenvalue bounds for the Steklov problem on differential forms in warped product manifolds
Tirumala Chakradhar
We consider the Steklov problem on differential -forms defined by M. Karpukhin and present geometric eigenvalue bounds in the setting of warped product manifolds in various scen…
A note on the magnetic Steklov operator on functions
Tirumala Chakradhar, Katie Gittins, Georges Habib +1
We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spect…