ec 2 01 1 SHARP ADAMS TYPE INEQUALITIES IN SOBOLEV SPACES
نویسنده
چکیده
The main purpose of our paper is to prove sharp Adams-type inequalities in unbounded domains of R for the Sobolev space W n m (R) for any positive integer m less than n. Our results complement those of Ruf and Sani [28] where such inequalities are only established for even integer m. Our inequalities are also a generalization of the Adams-type inequalities in the special case n = 2m = 4 proved in [33] and stronger than those in [28] when n = 2m for all positive integer m by using different Sobolev norms.
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تاریخ انتشار 2011