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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. Existence of minima of certain mean-coercive functionals is established.

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Communicated by D. Kinderlehrer

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Iwaniec, T., Lutoborski, A. Integral estimates for null Lagrangians. Arch. Rational Mech. Anal. 125, 25–79 (1993). https://doi.org/10.1007/BF00411477

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