On the singular set for Lipschitzian critical points of polyconvex functionals
نویسندگان
چکیده
منابع مشابه
On Critical Points of Functionals with Polyconvex Integrands
|f(x,A)| ≤ c(1 + |A|), for some c > 0 and 1 ≤ p < ∞, and u lies in the Sobolev space of vector-valued functions W 1,p(Ω,Rm). We study the implications of a function u0 being a critical point of F . In this regard we show among other things that if f does not depend on the spatial variable x, then every piecewise affine critical point of F is a global minimizer subject to its own boundary condit...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.02.078