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Publication 00-CNA-14
A-B Quasiconvexity and Implicit Partial Differential Equations Bernard Dacorogna and Irene Fonseca
ABSTRACT:
The study of existence of solutions of boundary-value problems for differential inclusions where , is an open subset of , is a compact set, and B is a -valued first order differential operator, is undertaken. As an application, minima of the energy for large magnetic bodies where the magnetization is taken with values on the unit sphere S2, is the induced magnetic field satisfying and , is the anisotropic energy density, and the applied external magnetic field is given by , are fully characterized. Setting with , it is shown that E admits a minimizer with if and only if either 0is on a face of or , where denotes the convex hull of Z. Get the paper in its entirety as |