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Hardy inequality and properties of the quasilinear Sturm-Liouville problem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F07%3A00000311" target="_blank" >RIV/49777513:23520/07:00000311 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985840:_____/07:00083784

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hardy inequality and properties of the quasilinear Sturm-Liouville problem

  • Original language description

    We present a necessary and sufficient condition for discreteness of the set of all eigenvalues (having the usual Sturm-Liouville-type problem with weights on an infinite interval. We point out that the same condition is necessary and sufficient for the compact embedding of certain weighted Sobolev and Lebesgue spaces. Our result completes those from the linear theory.

  • Czech name

    Hardyova nerovnost a vlastnosti kvazilineárního Sturmova-Liouvellova problému

  • Czech description

    Je uvedena nutná a postačující podmínka pro diskrétnost množiny vlastních čísel Sturmova-Liouvilleova problému s váhami na nekonečném intervalu.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Rendiconti Lincei - Matematica e Applicazioni

  • ISSN

    1120-6330

  • e-ISSN

  • Volume of the periodical

  • Issue of the periodical within the volume

  • Country of publishing house

    IT - ITALY

  • Number of pages

    14

  • Pages from-to

    125

  • UT code for WoS article

  • EID of the result in the Scopus database