equation 16.14 eq:calcvar-gateaux
open in the book ·
parts/02-mathematical-methods/14-calculus-of-variations.tex:461
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Supports
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depends_on
proposition 16.17
The first variation of an integral functional
¶
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depends_on
theorem 16.43
Euler's rule for integral constraints
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- depends_on example 16.45 Two solved isoperimetric problems ¶
- depends_on proposition 16.4 The hanging chain is a catenary ¶
- depends_on proposition 16.6 The isoperimetric extremal is a circle ¶
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depends_on
theorem 16.84
Noether's first theorem, one independent variable
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depends_on
theorem 16.90
Noether's first theorem, several independent variables
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depends_on
theorem 16.93
Noether's second theorem
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- depends_on example 16.109 The Einstein–Hilbert action ¶
- depends_on theorem 44.19 Covariant conservation of stress–energy ¶
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depends_on
theorem 16.93
Noether's second theorem
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depends_on
theorem 16.90
Noether's first theorem, several independent variables
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depends_on
theorem 16.43
Euler's rule for integral constraints
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- depends_on proposition 16.50 The second variation ¶
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| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | The first variation of an integral functional | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:506 |
depends_on |
← | The second variation | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:1494 |