A bound for the eigenvalue counting function for higher-order Krein Laplacians on open sets
For an arbitrary nonempty, open set Ω ⊂ ℝn, n ∈ ℕ of finite (Euclidean) volume, we consider the minimally defined higher-order Laplacian
The proof relies on variational considerations and exploits the fundamental link between the Krein–von Neumann extension and an underlying (abstract) buckling problem.