2 problems

Let $(M^{n},g,f)$ be a complete smooth metric measure space, and let $lambda_i$ be the $i$-th eigenvalue, for $i=1,2,\ldots,k$, of the drifting-Laplacian eigenvalue problem conside…

Let $Omega$ be a bounded domain with piecewise smooth boundary $partial\Omega$ in an $n$-dimensional Riemannian manifold $M^n$, and let $lambda_i$ denote the eigenvalues of the Dir…