Inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional rectangular parallelepipeds

DOI10.7153/mia-2018-21-62zbMath1403.35187arXiv1705.09147OpenAlexW2617016976WikidataQ129048089 ScholiaQ129048089MaRDI QIDQ4561075

Benchawan Wiwatanapataphee, G. Keady

Publication date: 10 December 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09147

zbMATH Keywords

Laplacian eigenvalueRobin boundary condition

Mathematics Subject Classification ID

Convex programming (90C25) Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (5)

From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ On functions and inverses, both positive, decreasing and convex: And Stieltjes functions ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones

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