Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

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

    267240.pdf (229.4Kb)
    Access Status
    Open access
    Authors
    Keady, G.
    Wiwatanapataphee, Benchawan
    Date
    2018
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Keady, G. and Wiwatanapataphee, B. 2018. Inequalities for the fundamental Robin eigenvalue for the Laplacian on N-dimensional rectangular parallelepipeds. Mathematical Inequalities and Applications. 21 (4): pp. 911-930.
    Source Title
    Mathematical Inequalities and Applications
    DOI
    10.7153/mia-2018-21-62
    Additional URLs
    http://files.ele-math.com/preprints/mia-21-62.pdf
    ISSN
    1331-4343
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    Remarks

    Copyright 2018 Ele-Math. Reproduced with permission.

    URI
    http://hdl.handle.net/20.500.11937/68872
    Collection
    • Curtin Research Publications
    Abstract

    Amongst N-dimensional rectangular parallelepipeds (boxes) of a given volume, that which has the smallest fundamental Robin eigenvalue for the Laplacian is the N -cube. We give an elementary proof of this isoperimetric inequality based on the well-known formulae for the eigenvalues. Also treated are variously related inequalities which are amenable to investigation using the formulae for the eigenvalues.

    Related items

    Showing items related by title, author, creator and subject.

    • M-Tensors and Some Applications
      Zhang, L.; Qi, L.; Zhou, Guanglu (2014)
      We introduce M-tensors. This concept extends the concept of M-matrices. We denote Z-tensors as the tensors with nonpositive off-diagonal entries. We show that M-tensors must be Z-tensors and the maximal diagonal entry ...
    • Coherent waves in finite, asymmetric, one dimensional periodic structures
      McMahon, Darryl (2018)
      The wave properties for a one dimensional periodic structure are related to the eigenvalues and eigenvectors of two pairs of 2x2 matrices M and N, E and G. M is the complex scattering matrix of coherent waves by a single ...
    • Z-Eigenvalue inclusion theorems for tensors
      Wang, G.; Zhou, Guanglu; Caccetta, L. (2017)
      In this paper, we establish Z-eigenvalue inclusion theorems for general tensors, which reveal some crucial differences between Z-eigenvalues and H-eigenvalues. As an application, we obtain upper bounds for the largest ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.