proof ch:14-calculus-of-variations@proof-34

open in the book · parts/02-mathematical-methods/14-calculus-of-variations.tex:2187

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proof : ch:14-calculus-of-variations@proof-34prooftheorem 16.70: The direct method16.70definition 12.2: Hilbert space12.2definition 6.9: Compact set6.9lemma 16.72: Convexity implies weak lower semicontinuity16.72theorem A.477: Douglas; RadóA.477theorem A.448: TonelliA.448theorem 16.81: Douglas; Radó16.81theorem 16.73: Tonelli16.73

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proves The direct method declared parts/02-mathematical-methods/14-calculus-of-variations.tex:2187