Monge–Ampère equation
nonlinear second-order partial differential equation of special kind
| rdfs:label |
"Monge–Ampère equation"@en
|
|
skos:alt |
"Monge-Ampere equation"@en
"Monge-Ampère differential equation"@en
|
| schema:description |
"nonlinear second-order partial differential equation of special kind"@en
|
|
schema:date |
"2026-09-07T13:23:56+00:00"^^xsd:dateTime |
| schema:version | 2541695896 |
| wikibase:identifiers | 6 |
| wikibase:sitelinks | 8 |
| wikibase:statements | 14 |
| p:P10283 | wd:statement/Q1552291-9FB34479-D86C-4712-94EA-99406E7DFEFC |
| p:P11514 | wd:statement/Q1552291-054AFAC3-187E-4416-8496-0C01D8FABFCE |
| p:P138 | wd:statement/q1552291-8F1FEF76-3AF7-42E8-B18E-B54FF7EDEC73 |
| wd:statement/q1552291-A7F0638F-5A65-46DA-94A3-37C7B03E17EA | |
| p:P1552 | wd:statement/Q1552291-423455ec-4eb8-b476-e8a2-3016eba7c0b9 |
| p:P1889 | wd:statement/Q1552291-636D82D6-9CBD-4A25-A75D-17A724477B71 |
| p:P2534 | wd:statement/Q1552291-4E2EE10B-C2A1-418D-8815-AA9F8D7180DC |
| p:P279 | wd:statement/Q1552291-9c36faa6-4b5c-a756-67d3-23d558a8a022 |
| p:P2812 | wd:statement/Q1552291-587A758C-A4EF-437C-A2F5-EED9F0431C1F |
| p:P2924 | wd:statement/Q1552291-02C9254F-0D1F-4DFF-8311-573B0FD78356 |
| p:P31 | wd:statement/Q1552291-17007b0f-4a85-65c4-d641-2d1520a67eac |
| p:P6104 | wd:statement/Q1552291-FE7A006A-0DDE-43E5-B515-ABCDD506648C |
| p:P6366 | wd:statement/Q1552291-59D9F1D4-C280-41DF-8F29-AF6423D88802 |
| p:P646 | wd:statement/Q1552291-2DFE34D2-641A-4C18-96A1-8C2837231992 |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C2777808208" |
| wdt:P11514 | "uravnenie-monzha-ampera-d00c1d" |
| wdt:P138 | Gaspard Monge |
| Jean-Jacques Ampère | |
| wdt:P1552 | nonlinearity |
| wdt:P1889 | Monge equation |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>z</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>z</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>z</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><mi>∂</mi><mi>y</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">=</mo><mi>a</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>z</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mn>2</mn><mi>b</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>z</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi><mi>∂</mi><mi>y</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>c</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>z</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>y</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mi>ϕ</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | partial differential equation |
| wdt:P2812 | "Monge-AmpereDifferentialEquation" |
| wdt:P2924 | "2227209" |
| wdt:P31 | mathematical concept |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "2777808208" |
| wdt:P646 | "/m/0ctyfc" |
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