Maximum principle

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Maximum principle

Quality:

Maximum principle - theorem that a harmonic function’s maximum can only be at the boundary of its domain. Article “Maximum principle” in English Wikipedia has 32.9 points for quality (as of July 1, 2026). The article contains 2 references and 14 sections.

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

In June 2026 the article “Maximum principle” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Maximum principle”, its content was written by 44 registered users of English Wikipedia and edited by 123 registered Wikipedia users in all languages.

The article is cited 57 times in English Wikipedia and cited 143 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #129995 in May 2011
  • Global: #101524 in July 2005

The highest popularity rank from 2008:

  • Local (English): #290355 in April 2015
  • Global: #377391 in April 2015

There are 10 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, 2026 (including revision history and pageviews for previous years).

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

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Maximum principle
32.9056
2Catalan (ca)
Principi màxim
22.5995
3Spanish (es)
Principio del máximo
19.0677
4German (de)
Maximumprinzip (Mathematik)
16.2113
5French (fr)
Principe du maximum (équations aux dérivées partielles)
10.2897
6Japanese (ja)
最大値原理
8.7748
7Portuguese (pt)
Princípio do máximo
6.7918
8Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
5.7232
9Italian (it)
Principio del massimo
3.365
10Korean (ko)
최대 원리
3.1156
More...

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

Most popular in all the time

The most popular language versions of the article "Maximum principle" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Maximum principle
437 673
2German (de)
Maximumprinzip (Mathematik)
125 414
3Japanese (ja)
最大値原理
40 330
4French (fr)
Principe du maximum (équations aux dérivées partielles)
38 201
5Italian (it)
Principio del massimo
15 223
6Portuguese (pt)
Princípio do máximo
7 798
7Korean (ko)
최대 원리
7 002
8Spanish (es)
Principio del máximo
2 927
9Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
2 408
10Catalan (ca)
Principi màxim
127
More...

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

Most popular in June 2026

The most popular language versions of the article "Maximum principle" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Maximum principle
1 244
2German (de)
Maximumprinzip (Mathematik)
248
3Japanese (ja)
最大値原理
148
4French (fr)
Principe du maximum (équations aux dérivées partielles)
124
5Spanish (es)
Principio del máximo
71
6Italian (it)
Principio del massimo
59
7Portuguese (pt)
Princípio do máximo
20
8Korean (ko)
최대 원리
17
9Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
15
10Catalan (ca)
Principi màxim
5
More...

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

The highest AI

Language versions of the article "Maximum principle" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Maximum principle
44
2German (de)
Maximumprinzip (Mathematik)
34
3French (fr)
Principe du maximum (équations aux dérivées partielles)
16
4Japanese (ja)
最大値原理
6
5Korean (ko)
최대 원리
6
6Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
4
7Italian (it)
Principio del massimo
4
8Portuguese (pt)
Princípio do máximo
4
9Spanish (es)
Principio del máximo
3
10Catalan (ca)
Principi màxim
2
More...

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

The highest AI in June 2026

Language versions of the article "Maximum principle" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Maximum principle
1
2Italian (it)
Principio del massimo
1
3Catalan (ca)
Principi màxim
0
4German (de)
Maximumprinzip (Mathematik)
0
5Spanish (es)
Principio del máximo
0
6French (fr)
Principe du maximum (équations aux dérivées partielles)
0
7Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
0
8Japanese (ja)
最大値原理
0
9Korean (ko)
최대 원리
0
10Portuguese (pt)
Princípio do máximo
0
More...

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

The highest CI

Language versions of the article "Maximum principle" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Maximum principle
57
2German (de)
Maximumprinzip (Mathematik)
29
3Portuguese (pt)
Princípio do máximo
12
4French (fr)
Principe du maximum (équations aux dérivées partielles)
10
5Italian (it)
Principio del massimo
10
6Japanese (ja)
最大値原理
10
7Catalan (ca)
Principi màxim
6
8Spanish (es)
Principio del máximo
6
9Korean (ko)
최대 원리
2
10Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Principi màxim
deGerman
Maximumprinzip (Mathematik)
enEnglish
Maximum principle
esSpanish
Principio del máximo
frFrench
Principe du maximum (équations aux dérivées partielles)
heHebrew
עקרון המקסימום (תורת הפוטנציאל)
itItalian
Principio del massimo
jaJapanese
最大値原理
koKorean
최대 원리
ptPortuguese
Princípio do máximo

Popularity rank trends

Best Rank English:
#290355
04.2015
Global:
#377391
04.2015

AI rank trends

Best Rank English:
#129995
05.2011
Global:
#101524
07.2005

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Maximum principle from Wikipedia articles about Stability theory, Maximum modulus principle, Dirichlet problem, Spherical harmonic and Shing-Tung Yau. Whereas reading the article about Maximum principle people most often go to Wikipedia articles on Maximum modulus principle, Hopf maximum principle, Elliptic differential equation, Pontryagins maximum principle and Holomorphic function.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

About WikiRank

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information