We generalize a classical inequality between the eigenvalues of the Laplacians with
Neumann and Dirichlet boundary conditions on bounded, planar domains: in 1955, Payne …

We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a
bounded Lipschitz domain Ω, with both fast and slow boundary. For the random walks on Ω …

Inequalities for the eigenvalues of the (negative) Laplacian subject to mixed boundary
conditions on polyhedral and more general bounded domains are established. The …

This work offers a new prospective on asymptotic perturbation theory for varying self‐adjoint
extensions of symmetric operators. Employing symplectic formulation of self‐adjointness, we …

Given a selfadjoint, elliptic operator L, one would like to know how the spectrum changes as
the spatial domain Ω⊂ ℝ n is deformed. For a family of domains {Ω t} t∈[a, b] we prove that …

Abstract Let Ω ⊂ R^ 2 Ω⊂ R 2 be a bounded planar domain, with piecewise smooth
boundary ∂ Ω∂ Ω. For σ> 0 σ> 0, we consider the Robin boundary value problem-Δ f= λ …

This work offers a new prospective on asymptotic perturbation theory for varying self-adjoint
extensions of symmetric operators. Employing symplectic formulation of self-adjointness we …

We consider second order elliptic differential operators on a bounded Lipschitz domain Ω.
Firstly, we establish a natural one-to-one correspondence between their self-adjoint …

The eigenvalue problem for the Laplacian on bounded, planar, convex domains with mixed
boundary conditions is considered, where a Dirichlet boundary condition is imposed on a …

Given a Schrödinger differential expression on an exterior Lipschitz domain we prove strict
inequalities between the eigenvalues of the corresponding selfadjoint operators subject …