On the ground state eigenfunction of a convex domain in Euclidean space

DOI10.1007/BF00276699zbMath0842.35065OpenAlexW135263833MaRDI QIDQ1908918

Pawel Kröger

Publication date: 7 March 1996

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276699

zbMATH Keywords

Bessel functionsfirst eigenfunction of the Dirichlet Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

The size of the first eigenfunction of a convex planar domain ⋮ Efficiency and localisation for the first Dirichlet eigenfunction ⋮ Localisation of the first eigenfunction of a convex domain

Cites Work

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• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation