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Biharmonic Steklov problems with Neumann boundary conditions and spectral inequalities on differential forms
Rodolphe Abou Assali
We introduce a biharmonic Steklov problem with Neumann-type boundary conditions on differential forms and show that it is well-posed. We prove the existence of a discrete spectrum…
Schrödinger operators with non-integer power-law potentials and Lie-Rinehart algebras
Ivan Beschastnyi, Catarina Carvalho, Victor Nistor +1
We study Schrödinger operators with potentials that have power-law growth (not necessarily polynomial) at 0 and at using methods of Lie theory (Lie-Rinehar…
The Buckling and Clamped Plate Problems on Differential Forms
Fida El Chami, Nicolas Ginoux, Georges Habib +2
We extend the buckling and clamped-plate problems to the context of differential forms on compact Riemannian manifolds with smooth boundary. We characterize their smallest eigenval…
A Poincaré formula for differential forms and applications
Nicolas Ginoux, Georges Habib, Simon Raulot
We prove a new general Poincaré-type inequality for differential forms on compact Riemannian manifolds with nonempty boundary. When the boundary is isometrically immersed in Euclid…
A Pseudodifferential Analytic Perspective on Getzler's Rescaling
Georges Habib, Sylvie Paycha
Inspired by Gilkey's invariance theory, Getzler's rescaling method and Scott's approach to the index via Wodzicki residues, we give a localisation formula for the -gra…
Normal forms of -graded -manifolds
Alexei Kotov, Camille Laurent-Gengoux, Vladimir Salnikov
Following recent results of A.K. and V.S. on -graded manifolds, we give several local and global normal forms results for -structures on those, i.e. for differential…