Lower semi-continuity of integrals with G-quasiconvex potential
نویسندگان
چکیده
منابع مشابه
Lower Semi-continuity of Integrals with G-quasiconvex Potential
defined over Sobolev spaces is connected to the convexity of the potential w. In the scalar case, that is for functions u with domain or range in R, the functional I is weakly W 1,p lower semi-continuous (weakly * W ) if and only if w is convex, provided it is continuous and satisfies some growth conditions. The notion which replaces convexity in the vector case is quasi-convexity (introduced b...
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ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik
سال: 2002
ISSN: 0044-2275
DOI: 10.1007/pl00012621