H_0~3(Ω)→L^(2n/n-6)(Ω)的最佳嵌入常数

The best embedding constant for H_0~3(Ω)→L~ (2n/n-6)(Ω)

给出了 S =inf{ ∫Rn D(Δu) 2 dx u∈H3 loc(Rn) ,∫Rn u 2nn- 6 dx =1}达到函数 ,并得到了H3 0 (Ω)L 2nn- 6 (Ω) 的最佳嵌入常数 .

This paper gives the attainable function of S=inf{∫ RnD(Δu)2dxu∈H3 loc(Rn), ∫ Rnu 2nn-6dx=1},and gets the best embedding constant for H3 0(Ω)L 2nn-6(Ω).