On the generalization of the courant nodal domain theorem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F02%3A00070112" target="_blank" >RIV/49777513:23520/02:00070112 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/02:00000070 RIV/49777513:23520/02:00000317 RIV/49777513:23520/02:00000318
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the generalization of the courant nodal domain theorem
Original language description
In this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear eigenvalue problem for the p-Laplacian. In particular we prove that if $u_{lambda_n}$ is an eigenfunction associated with the nth variational eigenvalue, $lambda_n$, then $u_{lambda_n}$ has at most 2n -2 nodal domain. Also, if $u_{lambda_n}$ has n+k nodal domains, then there is another eigenfunction with at most n-k nodal domains.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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