Boundary C Regularity for Variational Inequalities
نویسندگان
چکیده
In this paper we will consider the regularity problem for the following obstacle problem. (1.1) inf Z jrvj p dx among the functions in W(''), where is a bounded C 2 domain in < n (n 2) and ' and are C 2-functions deened on w i t h ', a n d 1 < p < 1 such t h a t W('') = fv 2 W 1p (() : v ; ' 2 W 1p 0 (() and v a.e. in g Remark 1.1. The C 2 assumptions on and ' are purely technical to avoid complications , as the reader may nd out later. Because of the convexity of the integrand, (1.1) has a unique solution u satisfying the variational inequality (see, for example LQ]).
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تاریخ انتشار 2001