<<A>> counterexample to the fredholm alternative for the p-Laplacian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F99%3A00042064" target="_blank" >RIV/49777513:23520/99:00042064 - 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
<<A>> counterexample to the fredholm alternative for the p-Laplacian
Original language description
The following nonhomogeneous Dirichlet boundary value problem for the one-dimensional p-Laplacian with 1<p<infty is considered: (*) -(|u'|^{p-2}u')'-lambda|u|^{p-2}u=f(x) for 0<x<T; u(0)=u(T)=0, where fequiv 1+h with hin L^{infty}(0,T) small enoughSolvability properties of Problem (*) with respect to the spectral parameter lambdain R are investigated. We focus our attention on some fundamental differences between the cases pneq2 and p=2. For pneq 2 we give a counterexample to the classical Frdholm alternative (which is valid for the linear case p=2).
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
1999
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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