Eigenvalue Bounds for the Fractional Laplacian: A Review
From MaRDI portal
Publication:4646363
DOI10.1515/9783110571561-007zbMath1404.35303arXiv1603.09736OpenAlexW2996401740MaRDI QIDQ4646363
Publication date: 11 January 2019
Published in: Recent Developments in Nonlocal Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.09736
Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Fractional partial differential equations (35R11)
Related Items (17)
The Lieb–Thirring inequalities: Recent results and open problems ⋮ Nonradiality of second eigenfunctions of the fractional Laplacian in a ball ⋮ Static and dynamical, fractional uncertainty principles ⋮ ON THE LOWEST EIGENVALUE OF THE FRACTIONAL LAPLACIAN FOR THE INTERSECTION OF TWO DOMAINS ⋮ Variational methods for nonpositive mixed local-nonlocal operators ⋮ Generic properties of eigenvalues of the fractional Laplacian ⋮ On fractional Poincaré inequality for unbounded domains with finite ball conditions: counter example ⋮ A deep learning method for computing eigenvalues of the fractional Schrödinger operator ⋮ Quantitative bounds versus existence of weakly coupled bound states for Schrödinger type operators ⋮ Pólya's conjecture fails for the fractional Laplacian ⋮ Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded domain ⋮ Study of fractional Poincaré inequalities on unbounded domains ⋮ Counting bound states with maximal Fourier multipliers ⋮ Estimates the upper bounds of Dirichlet eigenvalues for fractional Laplacian ⋮ Spectral theory of partial differential equations ⋮ On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians ⋮ Spectral upper bound for the torsion function of symmetric stable processes
This page was built for publication: Eigenvalue Bounds for the Fractional Laplacian: A Review
