proposition 16.8 The minimal-surface equation
open in the book ·
parts/02-mathematical-methods/14-calculus-of-variations.tex:294
· p. 634
Rests on
- depends_on equation 16.6 eq:calcvar-area-functional ¶
- depends_on equation 16.32 eq:calcvar-euler-lagrange-field ¶
- proves proof ch:14-calculus-of-variations@proof-4 ¶
Supports
- depends_on proposition A.493 A harmonic conformal map is a minimal surface ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:calcvar-area-functional | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:303 |
depends_on |
→ | eq:calcvar-euler-lagrange-field | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:303 |
depends_on |
← | A harmonic conformal map is a minimal surface | declared | appendices/A-long-proofs.tex:24139 |
proves |
← | ch:14-calculus-of-variations@proof-4 | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:306 |