Asymptotic behaviors 2 Eigen-value 2 Eigenvalues and eigenfunctions 2 Fractional Laplacian 2 Fractional diffusion 2 Hölder infinity Laplacian 2 Hölder infinity laplacian 2 Infinity laplacian 2 Laplace transforms 2 Laplacians 2 Neumann 2 Neumann eigenvalues 2 Nonlinear fractional Laplacian 2 Optimal design problems 2 P-Laplacian 2 Sharp regularity 2