Sobolev spaces of differential forms are studied, Lp-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.
|Original language||English (US)|
|Number of pages||55|
|Journal||Archive for Rational Mechanics and Analysis|
|State||Published - Mar 1 1993|
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Mechanical Engineering