A Faber-Krahn inequality for solutions of Schrödinger's equation

DOI10.1016/j.aim.2012.04.014zbMath1254.35064OpenAlexW2030259752MaRDI QIDQ436156

J. Herrera, H. S. Yoon

Publication date: 30 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.04.014

zbMATH Keywords

unique continuationbounded potentialfirst eigenvalueSchrödingerFaber-Krahn

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10) Other analytical inequalities (26D20)

Related Items (7)

Minimal potential results for the Schrödinger equation in a slab ⋮ A Faber-Krahn inequality for solutions of Schrödinger's equation on Riemannian manifolds ⋮ Location of maximizers of eigenfunctions of fractional Schrödinger's equations ⋮ Universal constraints on the location of extrema of eigenfunctions of non-local Schrödinger operators ⋮ Pleijel's theorem for Schrödinger operators with radial potentials ⋮ Faber-Krahn type inequalities and uniqueness of positive solutions on metric measure spaces ⋮ On minimal support properties of solutions of Schrödinger equations

Cites Work

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• Nodal sets of eigenfunctions on Riemannian manifolds
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• Geometric remarks on the level curves of harmonic functions
• Nodal Sets for Eigenfunctions of the Laplacian On Surfaces
• A Theorem on Level Curves of Harmonic Functions
• Sign and area in nodal geometry of Laplace eigenfunctions
• Lower bounds for the nodal length of eigenfunctions of the Laplacian

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