3 papers
math.SP2024
Inequalities for eigenvalues of Schrödinger operators with mixed boundary conditions
Nausica Aldeghi
We consider the eigenvalue problem for the Schrödinger operator on bounded, convex domains with mixed boundary conditions, where a Dirichlet boundary condition is imposed on a part…
math.SP2024
On the first eigenvalue and eigenfunction of the Laplacian with mixed boundary conditions
Nausica Aldeghi, Jonathan Rohleder
We consider the eigenvalue problem for the Laplacian with mixed Dirichlet and Neumann boundary conditions. For a certain class of bounded, simply connected planar domains we prove…
math.SP2023
Inequalities between the lowest eigenvalues of Laplacians with mixed boundary conditions
Nausica Aldeghi, Jonathan Rohleder
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 part…