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On the closed solution to some nonhomogeneous eigenvalue problems with p-Laplacian

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F99%3A00054145" target="_blank" >RIV/49777513:23520/99:00054145 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the closed solution to some nonhomogeneous eigenvalue problems with p-Laplacian

  • Original language description

    We deal with the Dirichlet, Neumann and periodic eigenvalue problems for the equation (|u'|^{p-2} u')'+lambda|u|^{q-2}u =0, on (0,T), where T>0, lambda >0, and p,q>1. For those problems we obtain a complete description of the spectra and a closed formrepresentation of the corresponding eigenfunctions. As an application of our results we present sharp Poincaré and Wirtinger inequalities for imbeddings W^{1,p}_0 (0,T) into L^q (0,T) and W^{1,p}_T (0,T) into L^q(0,T), respectively.

  • Czech name

  • Czech description

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

    <a href="/en/project/GA201%2F97%2F0395" target="_blank" >GA201/97/0395: Topological and variational methods for nonlinear boundary value problems</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    1999

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Differential and Integral Equations

  • ISSN

  • e-ISSN

  • Volume of the periodical

    Vol. 12

  • Issue of the periodical within the volume

    č. 6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database