The Robin Laplacian—Spectral conjectures, rectangular theorems
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Publication:5218754
DOI10.1063/1.5116253zbMath1444.35033arXiv1905.07658OpenAlexW3105833201WikidataQ122925016 ScholiaQ122925016MaRDI QIDQ5218754
Publication date: 5 March 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07658
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (17)
Spectral optimization of Dirac rectangles ⋮ Existence and regularity of optimal shapes for spectral functionals with Robin boundary conditions ⋮ Faber-Krahn inequalities for the Robin Laplacian on bounded domain in Riemannian manifolds ⋮ Spectral inequality for Dirac right triangles ⋮ Unnamed Item ⋮ Spectral optimization for Robin Laplacian on domains admitting parallel coordinates ⋮ Degeneration of the spectral gap with negative Robin parameter ⋮ Local spectral optimisation for Robin problems with negative boundary parameter on quadrilaterals ⋮ Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds ⋮ Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones ⋮ The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions ⋮ The Robin problem on rectangles ⋮ Courant-sharp Robin eigenvalues for the square: The case of negative Robin parameter ⋮ Robin spectrum: two disks maximize the third eigenvalue
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