Journal Article On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in RN

Ishiwata, Michinori  ,  Wadade, Hidemitsu

364 ( 3-4 )  , pp.1043 - 1068 , 2016-04-01 , Springer
In this paper, we consider the attainability of a maximizing problem (Formula presented.)where (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) and (Formula presented.). The existence of a maximizer for D is closely related to the exponent (Formula presented.). In fact, we show that the value (Formula presented.)is a threshold in terms of the attainability of D. © 2015 Springer-Verlag Berlin Heidelberg

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