Monge–Ampère equation

nonlinear second-order partial differential equation of special kind
Intangible mathematical_concept Q1552291
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Monge–Ampère equation

Summary

Monge–Ampère equation is a mathematical concept[1]. It draws 53 Wikipedia views per month (mathematical_concept category, ranking #213 of 1,007).[2]

Key Facts

  • Monge–Ampère equation's instance of is recorded as mathematical concept[3].
  • Gaspard Monge is named after Monge–Ampère equation[4].
  • Jean-Jacques Ampère is named after Monge–Ampère equation[5].
  • Monge–Ampère equation's subclass of is recorded as partial differential equation[6].
  • Monge–Ampère equation's Freebase ID is recorded as /m/0ctyfc[7].
  • Monge–Ampère equation's has characteristic is recorded as nonlinearity[8].
  • Monge–Ampère equation's different from is recorded as Monge equation[9].
  • Monge–Ampère equation's defining formula is recorded as \frac{\partial^2z}{\partial x^2}\frac{\partial^2z}{\partial y^2}-\left(\frac{\partial^2z}{\partial x\partial y}\right)^2 = a\frac{\partial^2z}{\partial x^2} +2b\frac{\partial^2z}{\partial x\partial y} + c\frac{\partial^2z}{\partial y^2} +\phi[10].
  • Monge–Ampère equation's MathWorld ID is recorded as Monge-AmpereDifferentialEquation[11].
  • Monge–Ampère equation's Great Russian Encyclopedia Online ID is recorded as 2227209[12].
  • Monge–Ampère equation's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Monge–Ampère equation's Microsoft Academic ID is recorded as 2777808208[14].
  • Monge–Ampère equation's OpenAlex ID is recorded as C2777808208[15].
  • Monge–Ampère equation's Great Russian Encyclopedia portal ID is recorded as uravnenie-monzha-ampera-d00c1d[16].

Why It Matters

Monge–Ampère equation draws 53 Wikipedia views per month (mathematical_concept category, ranking #213 of 1,007).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[17] It is known by 4 alternative names across languages and contexts.[18]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Monge–Ampère equation. Retrieved May 3, 2026, from https://4ort.xyz/entity/monge-amp-re-equation
MLA “Monge–Ampère equation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/monge-amp-re-equation.
BibTeX @misc{4ortxyz_monge-amp-re-equation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Monge–Ampère equation}}, year = {2026}, url = {https://4ort.xyz/entity/monge-amp-re-equation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Monge–Ampère equation — https://4ort.xyz/entity/monge-amp-re-equation (retrieved 2026-05-03)

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