Variational inequalities for energy functionals with nonstandard growth conditions

We consider the obstacle problem {minimize????????I(u)=?OG(?u)dx??among functions??u:O?Rsuch?that???????u|?O=0??and??u=F??a.e. for a given function F?C2(O¯),F|?O<0 and a bounded Lipschitz domain O in Rn. The growth properties of the convex integrand G are described in terms of a N-function A:[0,8...

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Bibliographic Details
Main Authors: Martin Fuchs, Li Gongbao
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Abstract and Applied Analysis
Subjects:
Online Access:http://dx.doi.org/10.1155/S1085337598000438