humectant
发表于 2025-3-23 11:18:52
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取之不竭
发表于 2025-3-23 16:10:29
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lobster
发表于 2025-3-23 20:01:42
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衰老
发表于 2025-3-24 01:53:33
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Cerebrovascular
发表于 2025-3-24 03:06:33
Estimates of phases: positive and negative results,While the previous chapters were concerned with the . and . of a lifting, this chapter investigates the matter of . for the phase . of .. We exhibit two unusual aspects: “existence without estimates,” and “estimates without existence.”
小丑
发表于 2025-3-24 10:08:39
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vasculitis
发表于 2025-3-24 11:43:07
Traces,We present a complete trace theory for .-valued maps. When . is not an integer and ., standard trace theory for . maps asserts that .where we identify . with .. When . is replaced by a manifold ., in general we only have the inclusion .and equality may fail.
休息
发表于 2025-3-24 14:54:08
Dirichlet problems. Gaps. Infinite energies,We investigate minimization problems of the form .where . and . is a given boundary condition (satisfying also . when .).
使高兴
发表于 2025-3-24 19:34:14
Domains with topology,We investigate the impact of the topology of . on the main topics presented above (existence of lifting, relaxed energy, density of smooth maps, etc.).
和平主义者
发表于 2025-3-24 23:54:50
Appendices,We recall standard properties of Sobolev spaces used throughout the book, and we gather the most technical parts of some of the proofs presented in the main text.