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Loss of compactness at infinity
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Area of mathematics
Analysis
Functional analysis
Sobolev space
Sobolev embedding theorem
Noncompactness of a Sobolev embedding by translation
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A bounded sequence can fail to have a strongly convergent subsequence because its mass escapes to infinity even when its local regularity is uniformly controlled.
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Noncompactness of a Sobolev embedding by translation
Sobolev embedding theorem
Sobolev space
Functional analysis
Analysis
Area of mathematics
Mathematics
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