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

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

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DOI - Digital Object Identifier

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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

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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)

Publication year

1999

Confidentiality

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

Name of the periodical

Differential and Integral Equations

ISSN

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e-ISSN

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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

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UT code for WoS article

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EID of the result in the Scopus database

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