Construct · 1 fields · 1 citations

concentration-compactness principle: a standalone construct

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concentration-compactnessprinciple1 CONSTRUCTCalculus of variationsLIONS · CALCULUS OF VARIATIONS

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Calculus of variations

minimizing sequences in variational problems either converge, vanish or split apart, which lets compactness be recovered in unbounded settings.

In calculus of variations, concentration-compactness principle refers to minimizing sequences in variational problems either converge, vanish or split apart, which lets compactness be recovered in unbounded settings. This meaning comes from Lions (1984) in Annales de l'Institut Henri Poincaré C, Analyse non linéaire.[1]

Unit
Recovery means
Measured by

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Nearby constructs

compactness2 fields · 3 citationsjingle · one word, two constructssplit2 fields · 2 citationsjingle · one word, two constructsvanish2 fields · 2 citationsjingle · one word, two constructs

References

  1. Lions, P. L. (1984). The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1(2), 109-145. https://doi.org/10.1016/s0294-1449(16)30428-0

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