enmesh 发表于 2025-3-23 11:30:50
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in isoperimetric problems underscores the importance of "optimal form" in ancient cultures, see Hildebrandt-Tromba for a beautiful treatise of this subject. While variatio nal problems thus are part of our classical cultural heritage, the first modern treatment of a variational problem is attriBOOST 发表于 2025-3-24 00:25:10
Limit Cases of the Palais-Smale Condition, in-spite of its success in dealing with one-dimensional variational problems like geodesics (see Birkhoff’s Theorem I.4.4 for example, or Palais’ work on closed geodesics), the Palais-Smale condition could never play a role in the solution of “interesting” variational problems in higher dimensivenous-leak 发表于 2025-3-24 03:58:54
Book 19901st editionmetric problems underscores the importance of "optimal form" in ancient cultures, see Hildebrandt-Tromba for a beautiful treatise of this subject. While variatio nal problems thus are part of our classical cultural heritage, the first modern treatment of a variational problem is attributed to F中国纪念碑 发表于 2025-3-24 07:49:01
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The Direct Methods in the Calculus of Variations,A particular class of functional equations . = 0, for u belonging to some Banach space ., is the class of Euler-Lagrange equations .for a functional . on . which is Fréchet differentiable with derivative .. We call such equations of ..支架 发表于 2025-3-24 22:37:41
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