On maximizing the fundamental frequency of the complement of an obstacle

DOI10.1016/j.crma.2018.01.018zbMath1387.35432arXiv1706.02138OpenAlexW2962754637MaRDI QIDQ1747389

Bogdan Georgiev, Mayukh Mukherjee

Publication date: 8 May 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.02138

zbMATH Keywords

Dirichlet eigenvaluefundamental frequencyobstacle

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Some applications of heat flow to Laplace eigenfunctions ⋮ Location of maximizers of eigenfunctions of fractional Schrödinger's equations ⋮ Some remarks on nodal geometry in the smooth setting ⋮ Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue

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