Isoperimetric inequalities for eigenvalues by inverse mean curvature   flow
  By studying the monotonicity of the first nonzero eigenvalues of Laplace and p-Laplace operators on a closed convex hypersurface $M^n$ which evolves under inverse mean curvature flow in $\mathbb{R}^{n+1}$, the isoperimetric lower bounds for both eigenvalues were founded. 
Fangcheng Guo, Guanghan Li, Chuanxi Wu
math.DG