Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43968403" target="_blank" >RIV/49777513:23520/23:43968403 - isvavai.cz</a>
Result on the web
<a href="https://ejde.math.txstate.edu/special/02/b3/benedikt.pdf" target="_blank" >https://ejde.math.txstate.edu/special/02/b3/benedikt.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.58997/ejde.sp.02.b3" target="_blank" >10.58997/ejde.sp.02.b3</a>

Result language
angličtina
Original language name
Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic
Original language description
We present a numerical algorithm for computing rigorous upper and lower estimates of the principal eigenvalue of the p-Laplacian. To control all possible errors including the rounding errors of the computer arithmetic, we use the interval arithmetic. We implement our algorithm in the Julia programming language using IntervalArithmetic.jl package.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA22-18261S" target="_blank" >GA22-18261S: Nonlinear problems with non-standard diffusion</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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