本刊英文版Vol.36(2020),No.4论文摘要（英文）

正A Weighted Trudinger-Moser Inequality on R~N and Its Application to Grushin Operator Jia Jun WANG Qiao Hua YANGAbstract Let x=(x′,x″) with x′∈R~k and x″∈R~(N-k)andΩbe a x′-symmetric and bounded domain in R~N (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 u∈C_0~∞(Ω) with∫_Ω|▽u(x)|~(N-a)|x′|~(-a)dx≤1,the following uniform inequality holds