科研之友
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摘要
Let x=(x’,x")) with x’∈■ and x" ∈and x"∈■ and Ω be a x’-symmetric and bounded domain in ■(N≥2).We show that if 0 ≤a≤k-2,then there exists a positive constant C> 0 such that for all x’-symmetric function ■with■,the following uniform inequality holds■ where■.Furthermore,βa can not be replaced by any greater number.As the application,we obtain some weighted Trudinger-Moser inequalities for x-symmetric function on Grushin space.
