Euler–Lagrange equation

Euler–Lagrange equation - second-order partial differential equation whose solutions are the functions for which a given functional is stationary. Article "Euler–Lagrange equation" in English Wikipedia has 37.2 points for quality (as of July 1, 2025). The article contains 9 references and 15 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Euler–Lagrange equation", its content was written by 162 registered users of English Wikipedia and edited by 589 registered Wikipedia users in all languages.

The article is cited 235 times in English Wikipedia and cited 1193 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #15035 in January 2015
• Global: #20370 in May 2004

The highest popularity rank from 2008:

• Local (English): #43844 in November 2021
• Global: #46416 in November 2014

There are 27 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Euler–Lagrange equation		37.2051
2	Turkish (tr) Euler-Lagrange denklemi		35.3384
3	Polish (pl) Równania Eulera-Lagrange’a		29.52
4	Spanish (es) Ecuaciones de Euler-Lagrange		20.2746
5	Catalan (ca) Equacions d'Euler-Lagrange		19.8412
6	Arabic (ar) معادلة أويلر-لاغرانج		18.5616
7	Italian (it) Equazioni di Eulero-Lagrange		17.7519
8	Chinese (zh) 歐拉-拉格朗日方程		17.4028
9	Swedish (sv) Euler-Lagranges ekvationer		15.0768
10	Czech (cs) Eulerova–Lagrangeova rovnice		14.8355

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Euler–Lagrange equation" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Euler–Lagrange equation		3 215 537
2	Russian (ru) Уравнение Эйлера — Лагранжа		415 629
3	Spanish (es) Ecuaciones de Euler-Lagrange		413 418
4	Japanese (ja) オイラー＝ラグランジュ方程式		389 552
5	Italian (it) Equazioni di Eulero-Lagrange		337 220
6	Polish (pl) Równania Eulera-Lagrange’a		288 104
7	French (fr) Équation d'Euler-Lagrange		240 545
8	Chinese (zh) 歐拉-拉格朗日方程		210 344
9	Korean (ko) 오일러-라그랑주 방정식		128 559
10	Persian (fa) معادله اویلر-لاگرانژ		126 057

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Euler–Lagrange equation" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Euler–Lagrange equation		14 038
2	Japanese (ja) オイラー＝ラグランジュ方程式		1 861
3	Russian (ru) Уравнение Эйлера — Лагранжа		1 754
4	Italian (it) Equazioni di Eulero-Lagrange		1 251
5	Spanish (es) Ecuaciones de Euler-Lagrange		936
6	French (fr) Équation d'Euler-Lagrange		930
7	Chinese (zh) 歐拉-拉格朗日方程		897
8	Polish (pl) Równania Eulera-Lagrange’a		867
9	Korean (ko) 오일러-라그랑주 방정식		833
10	Portuguese (pt) Equação de Euler-Lagrange		233

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Euler–Lagrange equation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Euler–Lagrange equation		162
2	Italian (it) Equazioni di Eulero-Lagrange		59
3	Russian (ru) Уравнение Эйлера — Лагранжа		56
4	French (fr) Équation d'Euler-Lagrange		50
5	Polish (pl) Równania Eulera-Lagrange’a		36
6	Spanish (es) Ecuaciones de Euler-Lagrange		30
7	Japanese (ja) オイラー＝ラグランジュ方程式		29
8	Hebrew (he) משוואת אוילר-לגראנז'		19
9	Czech (cs) Eulerova–Lagrangeova rovnice		17
10	Dutch (nl) Euler-lagrange-vergelijking		16

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Euler–Lagrange equation" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Czech (cs) Eulerova–Lagrangeova rovnice		2
2	Spanish (es) Ecuaciones de Euler-Lagrange		1
3	French (fr) Équation d'Euler-Lagrange		1
4	Arabic (ar) معادلة أويلر-لاغرانج		0
5	Azerbaijani (az) Laqranj və Eyler baxımları		0
6	Bulgarian (bg) Уравнение на Ойлер – Лагранж		0
7	Catalan (ca) Equacions d'Euler-Lagrange		0
8	Danish (da) Euler-Lagrange-ligning		0
9	Greek (el) Εξίσωση Όιλερ-Λαγκράνζ		0
10	English (en) Euler–Lagrange equation		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Euler–Lagrange equation" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Euler–Lagrange equation		235
2	French (fr) Équation d'Euler-Lagrange		110
3	Korean (ko) 오일러-라그랑주 방정식		89
4	Catalan (ca) Equacions d'Euler-Lagrange		84
5	Italian (it) Equazioni di Eulero-Lagrange		77
6	Chinese (zh) 歐拉-拉格朗日方程		71
7	Japanese (ja) オイラー＝ラグランジュ方程式		70
8	Russian (ru) Уравнение Эйлера — Лагранжа		70
9	Spanish (es) Ecuaciones de Euler-Lagrange		67
10	Portuguese (pt) Equação de Euler-Lagrange		66

More...

#	Language	Value
ar	Arabic معادلة أويلر-لاغرانج
az	Azerbaijani Laqranj və Eyler baxımları
bg	Bulgarian Уравнение на Ойлер – Лагранж
ca	Catalan Equacions d'Euler-Lagrange
cs	Czech Eulerova–Lagrangeova rovnice
da	Danish Euler-Lagrange-ligning
el	Greek Εξίσωση Όιλερ-Λαγκράνζ
en	English Euler–Lagrange equation
es	Spanish Ecuaciones de Euler-Lagrange
fa	Persian معادله اویلر-لاگرانژ
fr	French Équation d'Euler-Lagrange
he	Hebrew משוואת אוילר-לגראנז'
hu	Hungarian Euler–Lagrange-egyenlet
it	Italian Equazioni di Eulero-Lagrange
ja	Japanese オイラー＝ラグランジュ方程式
ko	Korean 오일러-라그랑주 방정식
la	Latin Aequationes Lagrangi
nl	Dutch Euler-lagrange-vergelijking
pl	Polish Równania Eulera-Lagrange’a
pt	Portuguese Equação de Euler-Lagrange
ru	Russian Уравнение Эйлера — Лагранжа
sl	Slovenian Euler-Lagrangeeva enačba
sv	Swedish Euler-Lagranges ekvationer
th	Thai สมการอ็อยเลอร์–ลากร็องฌ์
tr	Turkish Euler-Lagrange denklemi
uk	Ukrainian Рівняння Ейлера — Лагранжа
zh	Chinese 歐拉-拉格朗日方程

Best Rank

English: #43844 11.2021

Global: #46416 11.2014

Best Rank

English: #15035 01.2015

Global: #20370 05.2004

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information