半线性椭圆方程正解的等周不等式

证明了一类半线性椭圆方程正解满足等周不等式,并得到了此解的最佳上界估计.     

BRUNN-MINKOWSKI INEQUALITY FOR VARIATIONAL FUNCTIONAL INVOLVING THE P-LAPLACIAN OPERATOR

In this paper, we investigate the following elliptic problem involving the P- Laplacian
where p 〉 1,0 〈 q 〈 p- 1, K R^n with K∈K^n and prove that the energy integral of the problem （P） satisfies a Brunn-Minkowski type inequality.