Skip to Main content Skip to Navigation
New interface
Journal articles

The spectrum of a weighted Laplacian in the half-space

Abstract : J. Banasiak In this paper, we deal with spectral properties of a weighted Laplacian in the half-space when a Dirichlet or a Neumann boundary condition is imposed. After proving that the spectrum is discrete under suitable assumptions, we give explicit formulae of eigenvalues and eigenfunctions in a specific case. In particular, the obtained eigenfunctions are rational or pseudo-rational and have remarkable orthogonality properties. These results suggest the use of the discovered functions for approximating solutions of elliptic problems in the half-space. Copyright (c) 2015John Wiley and Sons, Ltd.
Document type :
Journal articles
Complete list of metadata
Contributor : Équipe HAL UVSQ Connect in order to contact the contributor
Submitted on : Wednesday, June 26, 2019 - 5:15:37 PM
Last modification on : Friday, October 14, 2022 - 9:07:26 AM

Links full text



Tahar Zamene Boulmezaoud, Nabil Kerdid. The spectrum of a weighted Laplacian in the half-space. Mathematical Methods in the Applied Sciences, 2016, 39 (2), pp.280-288. ⟨10.1002/mma.3476⟩. ⟨hal-02166369⟩



Record views