Lebesgue's criticism of Carl Neumann's method in potential theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10404083" target="_blank" >RIV/00216208:11320/19:10404083 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=UzH_3VVsr1" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=UzH_3VVsr1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00407-019-00233-z" target="_blank" >10.1007/s00407-019-00233-z</a>

Result language
angličtina
Original language name
Lebesgue's criticism of Carl Neumann's method in potential theory
Original language description
In the 1870s, Carl Neumann proposed the so-called method of the arithmetic mean for solving the Dirichlet problem on convex domains. Neumann's approach was considered at the time to be a reliable existence proof, following Weierstrass's criticism of the Dirichlet principle. However, in 1937 H. Lebesgue pointed out a serious gap in Neumann's proof. Curiously, the erroneous argument once again involved confusion between the notions of infimum and minimum. The objective of this paper is to show that Lebesgue's sharp criticism of Neumann's proof was only partially justified.
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
10101 - Pure mathematics

Project
<a href="/en/project/GA18-00449S" target="_blank" >GA18-00449S: The impact of WWI on the formation and transformation of the scientific life of the mathematical community</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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