Critical Points of Degenerate Polyconvex Energies
نویسندگان
چکیده
We study critical and stationary, i.e., with respect to both inner outer variations, points of polyconvex functionals the form for . In particular, we show that a.e. have locally constant determinant except in a relatively closed set measure zero, stationary almost everywhere. This is deduced from more general result concerning solutions , linearized problem also present some generalization original higher dimensions assuming further regularity on Finally, differential inclusion associated stationarity energies as above rigid.
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2023
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/22m1519018