Integral estimates for null Lagrangians. (English) Zbl 0793.58002

Iwaniec, Tadeusz; Lutoborski, Adam

Arch. Ration. Mech. Anal. 125, No. 1, 25-79 (1993).

Author’s abstract: “Sobolev spaces of differential forms are studied. \(L^ p\)-projections onto exact forms are introduced as a tool to obtain integral estimates for null Lagrangians. New results on compensated compactness are given and mean-coercive variational integrals are found”.

Reviewer: A.P.Stone (Albuquerque)

MSC:

58A10	Differential forms in global analysis
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
58E15	Variational problems concerning extremal problems in several variables; Yang-Mills functionals

Keywords:

Sobolev spaces; differential forms; null Lagrangians; mean-coercive variational integrals

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