arbiter
发表于 2025-3-26 23:05:29
Manuel Duque-Antón,Dietmar Kunz,Bernd Rübersponding integral functional. Moreover, we proved in Proposition 2.9 that if . or ., then convexity of the integrand is also necessary for weak lower semicontinuity. In the vectorial case (.), however, it turns out that one can find weakly lower semicontinuous integral functionals whose integrands are non-convex.
Euphonious
发表于 2025-3-27 01:35:25
https://doi.org/10.1007/978-1-4842-3673-4 Thus, we were led to consider quasiconvex integrands. However, while quasiconvexity is of tremendous importance in the theory of the calculus of variations, our Lower Semicontinuity Theorem . has one major drawback: we needed to require the .-growth bound
habitat
发表于 2025-3-27 08:31:37
Textbook 2018rgraduate and graduate students as well as researchers in the field...Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange multipliers, Noether’s Theorem and some regularit
机械
发表于 2025-3-27 10:20:59
0172-5939 asures to provide the reader with an effective toolkit for tThis textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field...Starting from ten mo
会犯错误
发表于 2025-3-27 13:53:59
Neural Networks in a Softcomputing Frameworkticular value of ., but in determining the . of the minimization problems as .. Concretely, we need to identify, if possible, a . . such that the minimizers and minimum values of the . (if they exist) converge to the minimizers and minimum values of . as ..
的事物
发表于 2025-3-27 21:46:35
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奇思怪想
发表于 2025-3-27 22:36:22
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小平面
发表于 2025-3-28 05:11:00
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Solace
发表于 2025-3-28 10:01:59
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混杂人
发表于 2025-3-28 12:01:40
Rigidity we assume that . is a bounded Lipschitz domain. We associate with . as above the . ..where . denotes the pointwise minimum of . that we assume to exist in .. Under a mild coercivity assumption on . we have that . is compact.