Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
نویسندگان
چکیده
منابع مشابه
Transformations by Functions in Sobolev Spaces and Lower Semicontinuity for Parametric Variational Problems
where Q <= Rm is a bounded domain, JS?W denotes m-dimensional Lebesgue measure, (p = (<p\..., (p) is a continuous transformation from Q to Rn (m ^ n) belonging to some Sobolev space W x p' (Q), and (px is the (almost everywhere defined) matrix function (d^/oxj). Here ƒ is a realvalued function o n Q x i ? n x M „ x m , where Mnxm is the space o f n x m matrices. Such integrals arise in the anal...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1973
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1973-13319-1