4 papers · 1 filter
Spectral properties of the magnetic Robin Laplacian on curvilinear half-plane
Diana Barseghyan, Baruch Schneider, Yifan Zhang
We analyse magnetic Robin Laplacian in curvilinear half-plane with a smooth boundary. It is well known that the spectrum of the Robin Laplacian is unstable with respect to boundary…
Lieb-Thirring bounds for Melik-Adamyan canonical Hamiltonians
Baruch Schneider, Diana Barseghyan Schneiderová, Yifan Zhang
We study a class of positive matrix Hamiltonians arising from the canonical differential expressions of Melik-Adamyan and appearing in the appendix of Alpay--Gohberg. Let and $…
One-dimensional optimisation of indefinite-weight principal eigenvalues with asymmetric Robin parameters and a Schrödinger-type perturbation
Baruch Schneider, Diana Schneiderová, Yifan Zhang
We study the minimisation of the positive principal eigenvalue for an indefinite-weight problem with asymmetric Robin parameters. The model is motivated by diffusive logistic equat…
Optimisation of Robin Laplacian eigenvalue with indefinite weight in spherical shell
Baruch Schneider, Diana Schneiderova, Yifan Zhang
This paper is concerned with an optimisation problem of Robin Laplacian eigenvalue with respect to an indefinite weight, which is formulated as a shape optimisation problem thanks…