Poincaré inequalities and the sharp maximal inequalities with [InlineEquation not available: see fulltext.]-norms for differential forms.

This paper is concerned with the Poincaré inequalities and the sharp maximal inequalities for differential forms with [InlineEquation not available: see fulltext.]-norm, where φ satisfies nonstandard growth conditions. These results can be used to estimate the norms of classical operators and analyze integral properties of differential forms. [ABSTRACT FROM AUTHOR]